De Luca, Lucia; Ponsiglione, Marcello; Spadaro, Emanuele Two slope functions minimizing fractional seminorms and applications to misfit dislocations. (English) Zbl 07809900 SIAM J. Math. Anal. 56, No. 1, 1179-1196 (2024). MSC: 74N05 74N15 35R11 PDFBibTeX XMLCite \textit{L. De Luca} et al., SIAM J. Math. Anal. 56, No. 1, 1179--1196 (2024; Zbl 07809900) Full Text: DOI arXiv
Rizzi, Peter; Sander, Evelyn; Wanner, Thomas Cyclic symmetry induced pitchfork bifurcations in the diblock copolymer model. (English) Zbl 07789742 Discrete Contin. Dyn. Syst., Ser. B 29, No. 2, 666-701 (2024). MSC: 37G40 37M20 65G20 65P30 37C81 65G30 74G60 74N15 PDFBibTeX XMLCite \textit{P. Rizzi} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 2, 666--701 (2024; Zbl 07789742) Full Text: DOI arXiv
Ginster, Janusz; Zwicknagl, Barbara Energy scaling laws for microstructures: from helimagnets to martensites. (English) Zbl 07782499 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 8, 40 p. (2024). MSC: 49J40 74N15 74G65 82B21 82B24 PDFBibTeX XMLCite \textit{J. Ginster} and \textit{B. Zwicknagl}, Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 8, 40 p. (2024; Zbl 07782499) Full Text: DOI OA License
Basak, Anup; Levitas, Valery I. A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains. (English) Zbl 1522.74088 Contin. Mech. Thermodyn. 35, No. 4, 1595-1624 (2023). MSC: 74N15 74A50 74C15 PDFBibTeX XMLCite \textit{A. Basak} and \textit{V. I. Levitas}, Contin. Mech. Thermodyn. 35, No. 4, 1595--1624 (2023; Zbl 1522.74088) Full Text: DOI arXiv
Lira, Jorge; Mazzeo, Rafe; Pluda, Alessandra; Sáez, Mariel Short-time existence for the network flow. (English) Zbl 1527.53084 Commun. Pure Appl. Math. 76, No. 12, 3968-4021 (2023). MSC: 53E10 35R37 74N15 PDFBibTeX XMLCite \textit{J. Lira} et al., Commun. Pure Appl. Math. 76, No. 12, 3968--4021 (2023; Zbl 1527.53084) Full Text: DOI arXiv
He, Dan; Feng, Jiayue An analytical model for predicting equivalent elastic moduli of micro/nano-honeycombs with nonlocal effects. (English) Zbl 1525.74189 Appl. Math. Modelling 120, 420-435 (2023). MSC: 74S05 65M60 74N15 PDFBibTeX XMLCite \textit{D. He} and \textit{J. Feng}, Appl. Math. Modelling 120, 420--435 (2023; Zbl 1525.74189) Full Text: DOI
Fallahpour, Merlin; Harbrecht, Helmut Shape optimization for composite materials in linear elasticity. (English) Zbl 1522.65207 Optim. Eng. 24, No. 3, 2115-2143 (2023). MSC: 65N30 65K10 74P10 74B10 74E30 74N15 49Q05 49Q12 35B27 35B36 74S05 35Q74 PDFBibTeX XMLCite \textit{M. Fallahpour} and \textit{H. Harbrecht}, Optim. Eng. 24, No. 3, 2115--2143 (2023; Zbl 1522.65207) Full Text: DOI
Rüland, Angkana; Tribuzio, Antonio On the energy scaling behaviour of singular perturbation models with prescribed Dirichlet data involving higher order laminates. (English) Zbl 1522.35499 ESAIM, Control Optim. Calc. Var. 29, Paper No. 68, 54 p. (2023). MSC: 35Q74 74N15 74D10 74E30 35B25 35B36 35B32 PDFBibTeX XMLCite \textit{A. Rüland} and \textit{A. Tribuzio}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 68, 54 p. (2023; Zbl 1522.35499) Full Text: DOI arXiv
Yakovenko, N. D.; Senchenkov, I. K. Numerical simulation of the surface hardening of a half space under pulsed thermal loading with regard for the dependences of inelastic characteristics on the phase composition of the material. (English. Ukrainian original) Zbl 1523.74027 J. Math. Sci., New York 273, No. 6, 1039-1050 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 128-138 (2020). MSC: 74F05 74C10 74N15 74S05 PDFBibTeX XMLCite \textit{N. D. Yakovenko} and \textit{I. K. Senchenkov}, J. Math. Sci., New York 273, No. 6, 1039--1050 (2023; Zbl 1523.74027); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 128--138 (2020) Full Text: DOI
Kumara, A. Naveena; Rizwan, C. L. Ahmed; Hegde, Kartheek; Ali, Md Sabir; Ajith, K. M. Microstructure of five-dimensional neutral Gauss-Bonnet black hole in anti-De Sitter spacetime via \(P-V\) criticality. (English) Zbl 1528.83078 Gen. Relativ. Gravitation 55, No. 1, Paper No. 4, 12 p. (2023). MSC: 83C57 80A10 83E15 83C55 74N15 PDFBibTeX XMLCite \textit{A. N. Kumara} et al., Gen. Relativ. Gravitation 55, No. 1, Paper No. 4, 12 p. (2023; Zbl 1528.83078) Full Text: DOI arXiv
Conti, Sergio; Zwicknagl, Barbara The tapering length of needles in martensite/martensite macrotwins. (English) Zbl 1517.74075 Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 63, 44 p. (2023). MSC: 74N15 74B20 74B15 74G65 35Q74 PDFBibTeX XMLCite \textit{S. Conti} and \textit{B. Zwicknagl}, Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 63, 44 p. (2023; Zbl 1517.74075) Full Text: DOI
Rüland, Angkana; Simon, Theresa M. On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation. (English) Zbl 1515.74063 J. Elasticity 153, No. 3, 455-475 (2023). MSC: 74N05 74N15 74G65 74B15 PDFBibTeX XMLCite \textit{A. Rüland} and \textit{T. M. Simon}, J. Elasticity 153, No. 3, 455--475 (2023; Zbl 1515.74063) Full Text: DOI arXiv
Rüland, Angkana; Tribuzio, Antonio On scaling laws for multi-well nucleation problems without gauge invariances. (English) Zbl 1513.74136 J. Nonlinear Sci. 33, No. 2, Paper No. 25, 41 p. (2023). MSC: 74N05 74N15 49N99 74D10 PDFBibTeX XMLCite \textit{A. Rüland} and \textit{A. Tribuzio}, J. Nonlinear Sci. 33, No. 2, Paper No. 25, 41 p. (2023; Zbl 1513.74136) Full Text: DOI arXiv
Mantič, Vladislav (ed.) Mathematical methods and models in composites. 2nd edition. (English) Zbl 1509.74001 Computational and Experimental Methods in Structures 13. Singapore: World Scientific (ISBN 978-1-80061-187-0/hbk; 978-1-80061-189-4/ebook). xvi, 714 p. (2023). MSC: 74-06 74Kxx 74M25 74N15 74S99 00A79 00B15 PDFBibTeX XMLCite \textit{V. Mantič} (ed.), Mathematical methods and models in composites. 2nd edition. Singapore: World Scientific (2023; Zbl 1509.74001) Full Text: DOI
Ried, Tobias; Román, Carlos Domain branching in micromagnetism: scaling law for the global and local energies. arXiv:2308.07239 Preprint, arXiv:2308.07239 [math.AP] (2023). MSC: 49N60 82D40 74N15 BibTeX Cite \textit{T. Ried} and \textit{C. Román}, ``Domain branching in micromagnetism: scaling law for the global and local energies'', Preprint, arXiv:2308.07239 [math.AP] (2023) Full Text: arXiv OA License
Giovine, Pasquale Continua with partially constrained microstructure. (English) Zbl 1516.74083 Contin. Mech. Thermodyn. 34, No. 1, 273-295 (2022). MSC: 74N15 PDFBibTeX XMLCite \textit{P. Giovine}, Contin. Mech. Thermodyn. 34, No. 1, 273--295 (2022; Zbl 1516.74083) Full Text: DOI
Clavijo, Santiago P.; Espath, Luis; Sarmiento, Adel; Calo, Victor M. A continuum theory for mineral solid solutions undergoing chemo-mechanical processes. (English) Zbl 1516.74038 Contin. Mech. Thermodyn. 34, No. 1, 17-38 (2022). MSC: 74F25 74N15 PDFBibTeX XMLCite \textit{S. P. Clavijo} et al., Contin. Mech. Thermodyn. 34, No. 1, 17--38 (2022; Zbl 1516.74038) Full Text: DOI arXiv
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi A stochastic model of grain boundary dynamics: a Fokker-Planck perspective. (English) Zbl 1524.74379 Math. Models Methods Appl. Sci. 32, No. 11, 2189-2236 (2022). MSC: 74N15 35R37 35Q84 35K15 93E03 53C21 49Q20 65M22 74N20 PDFBibTeX XMLCite \textit{Y. Epshteyn} et al., Math. Models Methods Appl. Sci. 32, No. 11, 2189--2236 (2022; Zbl 1524.74379) Full Text: DOI arXiv
Drozdenko, Daria; Knapek, Michal; Kružík, Martin; Máthis, Kristián; Švadlenka, Karel; Valdman, Jan Elastoplastic deformations of layered structures. (English) Zbl 1503.35221 Milan J. Math. 90, No. 2, 691-706 (2022). MSC: 35Q74 74E15 74C15 74N15 74H80 65N30 65K10 74S05 PDFBibTeX XMLCite \textit{D. Drozdenko} et al., Milan J. Math. 90, No. 2, 691--706 (2022; Zbl 1503.35221) Full Text: DOI arXiv
Conti, Sergio; Kohn, Robert V.; Misiats, Oleksandr Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection. (English) Zbl 1504.74067 Math. Models Methods Appl. Sci. 32, No. 8, 1671-1723 (2022). MSC: 74N15 74G65 74B20 49J35 PDFBibTeX XMLCite \textit{S. Conti} et al., Math. Models Methods Appl. Sci. 32, No. 8, 1671--1723 (2022; Zbl 1504.74067) Full Text: DOI
Li, Guan-Ru; Li, Guo-Ping; Guo, Sen Phase transition grade and microstructure of AdS black holes in massive gravity. (English) Zbl 1507.83054 Classical Quantum Gravity 39, No. 19, Article ID 195011, 17 p. (2022). MSC: 83C57 82B26 74N15 81V25 35B33 PDFBibTeX XMLCite \textit{G.-R. Li} et al., Classical Quantum Gravity 39, No. 19, Article ID 195011, 17 p. (2022; Zbl 1507.83054) Full Text: DOI
Chen, DongDong; Liu, Yang; Wang, XiaoRui; Wang, Mei Reconstruction of the microstructure based on hierarchical simulated annealing with erosion method. (English) Zbl 1521.74174 Physica A 604, Article ID 127694, 12 p. (2022). MSC: 74N15 74M25 90C59 PDFBibTeX XMLCite \textit{D. Chen} et al., Physica A 604, Article ID 127694, 12 p. (2022; Zbl 1521.74174) Full Text: DOI
Zhang, Yujie; Fan, Jitang; Gan, Bin; Guo, Xiang; Ruan, Haihui; Zhu, Linli Constitutive modeling of mechanical behaviors in gradient nanostructured alloys with hierarchical dual-phased microstructures. (English) Zbl 1501.74006 Acta Mech. 233, No. 8, 3197-3212 (2022). MSC: 74A20 74A60 74N15 74C99 82D35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Acta Mech. 233, No. 8, 3197--3212 (2022; Zbl 1501.74006) Full Text: DOI
Hussain, S.; Tayebi, T.; Armaghani, T.; Rashad, A. M.; Nabwey, H. A. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure. (English) Zbl 1493.80001 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 447-466 (2022). MSC: 80A19 74N15 82D80 PDFBibTeX XMLCite \textit{S. Hussain} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 447--466 (2022; Zbl 1493.80001) Full Text: DOI
Radayev, Yuriĭ Nikolaevich; Murashkin, Evgeniĭ Valer’evich Generalized pseudotensor formulations of the Stokes’ integral theorem. (English) Zbl 1496.74023 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 22, No. 2, 205-215 (2022). MSC: 74A35 74N15 PDFBibTeX XMLCite \textit{Y. N. Radayev} and \textit{E. V. Murashkin}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 22, No. 2, 205--215 (2022; Zbl 1496.74023) Full Text: DOI MNR
Risthaus, Lennart; Schneider, Matti Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites. (English) Zbl 1490.74006 Appl. Numer. Math. 178, 262-279 (2022). MSC: 74A40 74N15 74N20 74S20 74Q10 PDFBibTeX XMLCite \textit{L. Risthaus} and \textit{M. Schneider}, Appl. Numer. Math. 178, 262--279 (2022; Zbl 1490.74006) Full Text: DOI
Capella, A.; Morales, L. On the symmetric lamination convex and quasiconvex hull for the coplanar \(n\)-well problem in two dimensions. (English) Zbl 1490.74079 J. Elasticity 148, No. 1, 27-54 (2022). MSC: 74N15 49S05 PDFBibTeX XMLCite \textit{A. Capella} and \textit{L. Morales}, J. Elasticity 148, No. 1, 27--54 (2022; Zbl 1490.74079) Full Text: DOI
Clavijo, Santiago P.; Espath, Luis; Calo, Victor M. Extended Larché-Cahn framework for reactive Cahn-Hilliard multicomponent systems. (English) Zbl 1521.74176 Contin. Mech. Thermodyn. 33, No. 6, 2391-2410 (2021). MSC: 74N99 74N15 PDFBibTeX XMLCite \textit{S. P. Clavijo} et al., Contin. Mech. Thermodyn. 33, No. 6, 2391--2410 (2021; Zbl 1521.74176) Full Text: DOI arXiv
Placidi, Luca; Barchiesi, Emilio; Misra, Anil; Timofeev, Dmitry Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure. (English) Zbl 1521.74175 Contin. Mech. Thermodyn. 33, No. 5, 2213-2241 (2021). MSC: 74N15 74E20 74C05 74A45 PDFBibTeX XMLCite \textit{L. Placidi} et al., Contin. Mech. Thermodyn. 33, No. 5, 2213--2241 (2021; Zbl 1521.74175) Full Text: DOI
Nicolescu, Adrian Eracle; Bobe, Alexandru Weak solution of longitudinal waves in carbon nanotubes. (English) Zbl 1521.74114 Contin. Mech. Thermodyn. 33, No. 5, 2065-2073 (2021). MSC: 74J05 74K10 74N15 34B24 PDFBibTeX XMLCite \textit{A. E. Nicolescu} and \textit{A. Bobe}, Contin. Mech. Thermodyn. 33, No. 5, 2065--2073 (2021; Zbl 1521.74114) Full Text: DOI
Wang, Kang-Jia On the new exact traveling wave solutions of the time-space fractional strain wave equation in microstructured solids via the variational method. (English) Zbl 1521.35195 Commun. Theor. Phys. 73, No. 4, Article ID 045001, 8 p. (2021). MSC: 35R11 35Q51 35C07 35C08 74N15 PDFBibTeX XMLCite \textit{K.-J. Wang}, Commun. Theor. Phys. 73, No. 4, Article ID 045001, 8 p. (2021; Zbl 1521.35195) Full Text: DOI
Duda, Fernando P.; Sarmiento, Adel F.; Fried, Eliot Coupled diffusion and phase transition: phase fields, constraints, and the Cahn-Hilliard equation. (English) Zbl 1523.74087 Meccanica 56, No. 7, 1707-1725 (2021). MSC: 74N25 74N15 PDFBibTeX XMLCite \textit{F. P. Duda} et al., Meccanica 56, No. 7, 1707--1725 (2021; Zbl 1523.74087) Full Text: DOI
Conti, Sergio; Dolzmann, Georg Numerical study of microstructures in multiwell problems in linear elasticity. (English) Zbl 1513.74137 Mariano, Paolo Maria (ed.), Variational views in mechanics. Cham: Birkhäuser. Adv. Mech. Math., 1-29 (2021). MSC: 74N15 74G65 74B05 74A60 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, in: Variational views in mechanics. Cham: Birkhäuser. 1--29 (2021; Zbl 1513.74137) Full Text: DOI
Mackolil, J.; Mahanthesh, B. Optimization of heat transfer in the thermal Marangoni convective flow of a hybrid nanomaterial with sensitivity analysis. (English) Zbl 1492.76126 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 11, 1663-1674 (2021). MSC: 76T20 74N15 80A19 82D80 PDFBibTeX XMLCite \textit{J. Mackolil} and \textit{B. Mahanthesh}, AMM, Appl. Math. Mech., Engl. Ed. 42, No. 11, 1663--1674 (2021; Zbl 1492.76126) Full Text: DOI
Deng, Gao-Ming; Fan, Jinbo; Li, Xinfei Effects of global monopole on critical behaviors and microstructure of charged AdS black holes. (English) Zbl 1489.83048 Mod. Phys. Lett. A 36, No. 26, Article ID 2150191, 14 p. (2021). MSC: 83C57 81V60 83C40 82B27 74N15 83C20 82B26 PDFBibTeX XMLCite \textit{G.-M. Deng} et al., Mod. Phys. Lett. A 36, No. 26, Article ID 2150191, 14 p. (2021; Zbl 1489.83048) Full Text: DOI arXiv
Conti, Sergio; Diermeier, Johannes; Koser, Melanie; Zwicknagl, Barbara Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys. (English) Zbl 1481.74601 J. Elasticity 147, No. 1-2, 149-200 (2021). MSC: 74N15 74G65 74B20 74G10 PDFBibTeX XMLCite \textit{S. Conti} et al., J. Elasticity 147, No. 1--2, 149--200 (2021; Zbl 1481.74601) Full Text: DOI
Thriveni, K.; Mahanthesh, B. Heat transport of hybrid nanomaterial in an annulus with quadratic Boussinesq approximation. (English) Zbl 1476.80005 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 885-900 (2021). MSC: 80A19 74N15 82D80 PDFBibTeX XMLCite \textit{K. Thriveni} and \textit{B. Mahanthesh}, AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 885--900 (2021; Zbl 1476.80005) Full Text: DOI
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag. (English) Zbl 1484.34114 Commun. Math. Sci. 19, No. 5, 1403-1428 (2021). MSC: 34C60 74N15 34D05 34C05 PDFBibTeX XMLCite \textit{Y. Epshteyn} et al., Commun. Math. Sci. 19, No. 5, 1403--1428 (2021; Zbl 1484.34114) Full Text: DOI arXiv
Mizuno, Masashi; Takasao, Keisuke A curve shortening equation with time-dependent mobility related to grain boundary motions. (English) Zbl 1483.53109 Interfaces Free Bound. 23, No. 2, 169-190 (2021). MSC: 53E10 35R37 70G75 74N15 PDFBibTeX XMLCite \textit{M. Mizuno} and \textit{K. Takasao}, Interfaces Free Bound. 23, No. 2, 169--190 (2021; Zbl 1483.53109) Full Text: DOI arXiv
Idiart, Martín I.; Ramos Nervi, Juan E. A class of coherent potentials for two-phase creeping solids. (English) Zbl 1492.74123 Acta Mech. 232, No. 10, 4081-4110 (2021). MSC: 74N15 74A15 74A20 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{J. E. Ramos Nervi}, Acta Mech. 232, No. 10, 4081--4110 (2021; Zbl 1492.74123) Full Text: DOI
Freidin, Alexander B.; Sharipova, Leah L.; Cherkaev, Andrej V. On equilibrium two-phase microstructures at plane strain. (English) Zbl 1491.74082 Acta Mech. 232, No. 5, 2005-2021 (2021). MSC: 74N15 74B05 74G65 PDFBibTeX XMLCite \textit{A. B. Freidin} et al., Acta Mech. 232, No. 5, 2005--2021 (2021; Zbl 1491.74082) Full Text: DOI
Simon, Theresa M. Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures. (English) Zbl 1480.74244 SIAM J. Math. Anal. 53, No. 4, 4537-4567 (2021). MSC: 74N15 74G45 74B15 PDFBibTeX XMLCite \textit{T. M. Simon}, SIAM J. Math. Anal. 53, No. 4, 4537--4567 (2021; Zbl 1480.74244) Full Text: DOI arXiv
Wang, Yangshuai; Chen, Huajie; Liao, Mingjie; Ortner, Christoph; Wang, Hao; Zhang, Lei A posteriori error estimates for adaptive QM/MM coupling methods. (English) Zbl 1486.65266 SIAM J. Sci. Comput. 43, No. 4, A2785-A2808 (2021). MSC: 65N30 65N12 65N15 65Q10 65Z05 74N15 81V55 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM J. Sci. Comput. 43, No. 4, A2785--A2808 (2021; Zbl 1486.65266) Full Text: DOI arXiv
Simon, Theresa M. Rigidity of branching microstructures in shape memory alloys. (English) Zbl 1468.74048 Arch. Ration. Mech. Anal. 241, No. 3, 1707-1783 (2021). MSC: 74N15 74G65 35Q74 PDFBibTeX XMLCite \textit{T. M. Simon}, Arch. Ration. Mech. Anal. 241, No. 3, 1707--1783 (2021; Zbl 1468.74048) Full Text: DOI arXiv
Della Porta, Francesco; Rüland, Angkana; Taylor, Jamie M.; Zillinger, Christian On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. (English) Zbl 1467.74069 Nonlinearity 34, No. 7, 4844-4896 (2021). MSC: 74N05 74N15 74S60 PDFBibTeX XMLCite \textit{F. Della Porta} et al., Nonlinearity 34, No. 7, 4844--4896 (2021; Zbl 1467.74069) Full Text: DOI arXiv
Ferreira, I. L.; Garcia, A.; Moreira, A. L. S. On the transient atomic/heat diffusion in cylinders and spheres with phase change: a method to derive closed-form solutions. (English) Zbl 1486.74113 Int. J. Math. Math. Sci. 2021, Article ID 6624287, 19 p. (2021). MSC: 74N25 74N20 74N15 PDFBibTeX XMLCite \textit{I. L. Ferreira} et al., Int. J. Math. Math. Sci. 2021, Article ID 6624287, 19 p. (2021; Zbl 1486.74113) Full Text: DOI
Javanbakht, Mahdi; Ghaedi, Mohammad Sadegh; Barchiesi, Emilio; Ciallella, Alessandro The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. (English) Zbl 1486.74112 Math. Mech. Solids 26, No. 1, 90-109 (2021). MSC: 74N15 PDFBibTeX XMLCite \textit{M. Javanbakht} et al., Math. Mech. Solids 26, No. 1, 90--109 (2021; Zbl 1486.74112) Full Text: DOI
Tůma, K.; Rezaee-Hajidehi, M.; Hron, J.; Farrell, P. E.; Stupkiewicz, S. Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations. (English) Zbl 1506.74242 Comput. Methods Appl. Mech. Eng. 377, Article ID 113705, 23 p. (2021). MSC: 74N15 74S05 PDFBibTeX XMLCite \textit{K. Tůma} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113705, 23 p. (2021; Zbl 1506.74242) Full Text: DOI arXiv
Dao, My Ha; Lou, Jing Simulations of laser assisted additive manufacturing by smoothed particle hydrodynamics. (English) Zbl 1506.74240 Comput. Methods Appl. Mech. Eng. 373, Article ID 113491, 20 p. (2021). MSC: 74N15 65M75 76M28 PDFBibTeX XMLCite \textit{M. H. Dao} and \textit{J. Lou}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113491, 20 p. (2021; Zbl 1506.74240) Full Text: DOI
Harmatii, G. Yu. Numerical determination of unsteady thermal state of a three-layer hollow heat-sensitive cylinder under complex heat exchange. (Ukrainian, English) Zbl 1513.74080 Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 129-136 (2020); translation in J. Math. Sci., NY 272, No. 1, 151-160 (2023). Reviewer: A. N. Chernienko (Kyïv) MSC: 74F05 74K10 74N15 PDFBibTeX XMLCite \textit{G. Yu. Harmatii}, Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 129--136 (2020; Zbl 1513.74080); translation in J. Math. Sci., NY 272, No. 1, 151--160 (2023)
Cirillo, Emilio N. M.; de Bonis, Ida; Muntean, Adrian; Richardson, Omar Upscaling the interplay between diffusion and polynomial drifts through a composite thin strip with periodic microstructure. (English) Zbl 1483.76056 Meccanica 55, No. 11, 2159-2178 (2020). MSC: 76R50 74N15 PDFBibTeX XMLCite \textit{E. N. M. Cirillo} et al., Meccanica 55, No. 11, 2159--2178 (2020; Zbl 1483.76056) Full Text: DOI
Naveena Kumara, A.; Ahmed Rizwan, C. L.; Hegde, Kartheek; Ajith, K. M. Repulsive interactions in the microstructure of regular Hayward black hole in anti-de Sitter spacetime. (English) Zbl 1473.83053 Phys. Lett., B 807, Article ID 135556, 7 p. (2020). MSC: 83C57 80A10 74N15 53C21 83C55 PDFBibTeX XMLCite \textit{A. Naveena Kumara} et al., Phys. Lett., B 807, Article ID 135556, 7 p. (2020; Zbl 1473.83053) Full Text: DOI arXiv
Teichert, G. H.; Natarajan, A. R.; Van der Ven, A.; Garikipati, K. Scale bridging materials physics: active learning workflows and integrable deep neural networks for free energy function representations in alloys. (English) Zbl 1506.74241 Comput. Methods Appl. Mech. Eng. 371, Article ID 113281, 19 p. (2020). MSC: 74N15 82C32 PDFBibTeX XMLCite \textit{G. H. Teichert} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113281, 19 p. (2020; Zbl 1506.74241) Full Text: DOI arXiv
Zhang, Xiaoxuan; Garikipati, Krishna Machine learning materials physics: multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures. (English) Zbl 1506.74243 Comput. Methods Appl. Mech. Eng. 372, Article ID 113362, 25 p. (2020). MSC: 74N15 74B20 68T07 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{K. Garikipati}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113362, 25 p. (2020; Zbl 1506.74243) Full Text: DOI arXiv
Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. (English) Zbl 1459.49004 ESAIM, Control Optim. Calc. Var. 26, Paper No. 115, 64 p. (2020). MSC: 49J40 74N15 74G65 PDFBibTeX XMLCite \textit{S. Conti} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 115, 64 p. (2020; Zbl 1459.49004) Full Text: DOI arXiv
Bhaskar, P.; Venkateswarlu, M. Hall effects on hydromagnetic natural convection flow in a vertical micro-porous-channel with injection/suction. (English) Zbl 1453.85003 J. Korean Soc. Ind. Appl. Math. 24, No. 1, 103-119 (2020). MSC: 85A30 76S05 81V70 74N15 PDFBibTeX XMLCite \textit{P. Bhaskar} and \textit{M. Venkateswarlu}, J. Korean Soc. Ind. Appl. Math. 24, No. 1, 103--119 (2020; Zbl 1453.85003) Full Text: DOI
Colin, J. Misfit dislocation in a precipitate/matrix interface of any orientation relative to the matrix free-surface. (English) Zbl 1462.82069 Arch. Mech. 72, No. 5, 445-464 (2020). MSC: 82D20 74B10 74M25 74N15 PDFBibTeX XMLCite \textit{J. Colin}, Arch. Mech. 72, No. 5, 445--464 (2020; Zbl 1462.82069) Full Text: DOI
Reischmann, L.; Peter, M. A. Multiscale modeling and simulation of a Cahn-Larché system with phase separation on the microscale. (English) Zbl 1450.35040 SIAM J. Appl. Math. 80, No. 5, 2170-2193 (2020). MSC: 35B27 74Q10 35B36 74N15 PDFBibTeX XMLCite \textit{L. Reischmann} and \textit{M. A. Peter}, SIAM J. Appl. Math. 80, No. 5, 2170--2193 (2020; Zbl 1450.35040) Full Text: DOI
Fanzon, Silvio; Ponsiglione, Marcello; Scala, Riccardo Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces. (English) Zbl 1440.74263 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 141, 26 p. (2020). MSC: 74N05 74N15 49J45 PDFBibTeX XMLCite \textit{S. Fanzon} et al., Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 141, 26 p. (2020; Zbl 1440.74263) Full Text: DOI arXiv
Han, Xue; Bian, Xingzhi Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions. (English) Zbl 1444.35091 J. Math. Anal. Appl. 486, No. 2, Article ID 123900, 18 p. (2020). MSC: 35K20 74N15 35Q74 PDFBibTeX XMLCite \textit{X. Han} and \textit{X. Bian}, J. Math. Anal. Appl. 486, No. 2, Article ID 123900, 18 p. (2020; Zbl 1444.35091) Full Text: DOI
Della Porta, Francesco; Rüland, Angkana Convex integration solutions for the geometrically nonlinear two-well problem with higher Sobolev regularity. (English) Zbl 1434.74090 Math. Models Methods Appl. Sci. 30, No. 3, 611-651 (2020). MSC: 74N15 74B20 35B65 35Q74 PDFBibTeX XMLCite \textit{F. Della Porta} and \textit{A. Rüland}, Math. Models Methods Appl. Sci. 30, No. 3, 611--651 (2020; Zbl 1434.74090) Full Text: DOI arXiv
Birtea, Petre; Caşu, Ioan; Comănescu, Dan Characterization of the critical points for the shear-stretch strain energy of a Cosserat problem. (English) Zbl 1433.74013 Z. Angew. Math. Phys. 71, No. 2, Paper No. 67, 17 p. (2020). MSC: 74A30 74A60 74G05 74G65 74N15 PDFBibTeX XMLCite \textit{P. Birtea} et al., Z. Angew. Math. Phys. 71, No. 2, Paper No. 67, 17 p. (2020; Zbl 1433.74013) Full Text: DOI arXiv
Preethi, A. Angelin Peace; Karthigaikumar, P. Micro-machined silicon accelerometer with piezoresistive SCR implementation for glucolysis. (English) Zbl 1432.74183 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 1, Article ID 1941013, 12 p. (2020). MSC: 74N15 PDFBibTeX XMLCite \textit{A. A. P. Preethi} and \textit{P. Karthigaikumar}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 1, Article ID 1941013, 12 p. (2020; Zbl 1432.74183) Full Text: DOI
Davoli, Elisa; Friedrich, Manuel Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions. (English) Zbl 1432.74182 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 44, 47 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 74N15 49J45 26B30 74G65 49Q20 PDFBibTeX XMLCite \textit{E. Davoli} and \textit{M. Friedrich}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 44, 47 p. (2020; Zbl 1432.74182) Full Text: DOI arXiv
Alama, Stan; Bronsard, Lia; Choksi, Rustum; Topaloglu, Ihsan Droplet phase in a nonlocal isoperimetric problem under confinement. (English) Zbl 1428.35571 Commun. Pure Appl. Anal. 19, No. 1, 175-202 (2020). MSC: 35Q70 49Q20 49S05 74N15 82D60 PDFBibTeX XMLCite \textit{S. Alama} et al., Commun. Pure Appl. Anal. 19, No. 1, 175--202 (2020; Zbl 1428.35571) Full Text: DOI arXiv
Capella, Antonio; Morales, Lauro On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions. arXiv:2012.06626 Preprint, arXiv:2012.06626 [math.AP] (2020). MSC: 74N15 BibTeX Cite \textit{A. Capella} and \textit{L. Morales}, ``On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions'', Preprint, arXiv:2012.06626 [math.AP] (2020) Full Text: arXiv OA License
Feng, Fan; Plucinsky, Paul; James, Richard D. Phase transformations and compatibility in helical structures. (English) Zbl 1479.74102 J. Mech. Phys. Solids 131, 74-95 (2019). MSC: 74N99 74N15 74E15 PDFBibTeX XMLCite \textit{F. Feng} et al., J. Mech. Phys. Solids 131, 74--95 (2019; Zbl 1479.74102) Full Text: DOI arXiv
Zhu, Yichao; Li, Shaoshuai; Du, Zongliang; Liu, Chang; Guo, Xu; Zhang, Weisheng A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures. (English) Zbl 1474.74085 J. Mech. Phys. Solids 124, 612-633 (2019). MSC: 74Q05 74N15 74G10 PDFBibTeX XMLCite \textit{Y. Zhu} et al., J. Mech. Phys. Solids 124, 612--633 (2019; Zbl 1474.74085) Full Text: DOI
Della Porta, Francesco On the cofactor conditions and further conditions of supercompatibility between phases. (English) Zbl 1453.74007 J. Mech. Phys. Solids 122, 27-53 (2019). MSC: 74A50 74N20 74N15 PDFBibTeX XMLCite \textit{F. Della Porta}, J. Mech. Phys. Solids 122, 27--53 (2019; Zbl 1453.74007) Full Text: DOI arXiv
Tkachuk, M. M. Elastic homogenization of materials with composite network structure. (Ukrainian, English) Zbl 1463.74021 Mat. Metody Fiz.-Mekh. Polya 62, No. 3, 92-105 (2019). Reviewer: R. K. Azimov (Andizhan) MSC: 74A40 74A60 74N15 74Q05 PDFBibTeX XMLCite \textit{M. M. Tkachuk}, Mat. Metody Fiz.-Mekh. Polya 62, No. 3, 92--105 (2019; Zbl 1463.74021)
Özcan, A.; Kollmannsberger, Stefan; Jomo, J.; Rank, E. Residual stresses in metal deposition modeling: discretizations of higher order. (English) Zbl 1443.65363 Comput. Math. Appl. 78, No. 7, 2247-2266 (2019). MSC: 65N30 74N15 PDFBibTeX XMLCite \textit{A. Özcan} et al., Comput. Math. Appl. 78, No. 7, 2247--2266 (2019; Zbl 1443.65363) Full Text: DOI arXiv
Zubkova, Anna The two-scale periodic unfolding technique. (English) Zbl 1446.74189 Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 45-50 (2019). MSC: 74N15 74Q05 74F10 35Q74 35B27 PDFBibTeX XMLCite \textit{A. Zubkova}, Trends Math., Res. Perspect. CRM Barc. 11, 45--50 (2019; Zbl 1446.74189) Full Text: DOI
Osmolovskii, V. G. Behavior of solutions of one-sided variational problems on phase transitions in continuum mechanics at high temperatures. (English. Russian original) Zbl 1443.74244 Funct. Anal. Appl. 53, No. 4, 270-280 (2019); translation from Funkts. Anal. Prilozh. 53, No. 4, 38-51 (2019). MSC: 74N15 74G65 74A15 49J05 PDFBibTeX XMLCite \textit{V. G. Osmolovskii}, Funct. Anal. Appl. 53, No. 4, 270--280 (2019; Zbl 1443.74244); translation from Funkts. Anal. Prilozh. 53, No. 4, 38--51 (2019) Full Text: DOI
Della Porta, Francesco Interfacial energy as a selection mechanism for minimizing gradient Young measures in a one-dimensional model problem. (English) Zbl 1445.35024 ESAIM, Control Optim. Calc. Var. 25, Paper No. 26, 37 p. (2019). Reviewer: Evgeniy Panov (Novgorod) MSC: 35B25 35B40 35Q74 49J45 74N15 PDFBibTeX XMLCite \textit{F. Della Porta}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 26, 37 p. (2019; Zbl 1445.35024) Full Text: DOI arXiv
Zimmermann, Christopher; Toshniwal, Deepesh; Landis, Chad M.; Hughes, Thomas J. R.; Mandadapu, Kranthi K.; Sauer, Roger A. An isogeometric finite element formulation for phase transitions on deforming surfaces. (English) Zbl 1441.74286 Comput. Methods Appl. Mech. Eng. 351, 441-477 (2019). MSC: 74S05 65M60 65D07 74N15 PDFBibTeX XMLCite \textit{C. Zimmermann} et al., Comput. Methods Appl. Mech. Eng. 351, 441--477 (2019; Zbl 1441.74286) Full Text: DOI arXiv
Hoppe, R. H. W.; Winkle, J. J. A splitting scheme for the numerical solution of the KWC system. (English) Zbl 1449.65289 Numer. Math., Theory Methods Appl. 12, No. 3, 661-680 (2019). MSC: 65M99 65M06 65N30 74N15 35Q74 35K55 74S99 PDFBibTeX XMLCite \textit{R. H. W. Hoppe} and \textit{J. J. Winkle}, Numer. Math., Theory Methods Appl. 12, No. 3, 661--680 (2019; Zbl 1449.65289) Full Text: DOI
Shakoor, Modesar; Gao, Jiaying; Liu, Zeliang; Liu, Wing Kam A data-driven multiscale theory for modeling damage and fracture of composite materials. (English) Zbl 1428.74229 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations IX. Selected papers of the ninth international workshop, Bonn, Germany, September 18–20, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 129, 135-148 (2019). MSC: 74S99 65T50 74E30 74R05 74A60 74N15 74M25 74S05 74B05 65R20 65H10 65N50 35Q74 PDFBibTeX XMLCite \textit{M. Shakoor} et al., Lect. Notes Comput. Sci. Eng. 129, 135--148 (2019; Zbl 1428.74229) Full Text: DOI
Łydżba, D.; Różański, A.; Sevostianov, Igor; Stefaniuk, D. Principle of equivalent microstructure in micromechanics and its connection with the replacement relations. Thermal conductivity problem. (English) Zbl 1476.74122 Int. J. Eng. Sci. 144, Article ID 103126, 10 p. (2019). MSC: 74N15 74F05 PDFBibTeX XMLCite \textit{D. Łydżba} et al., Int. J. Eng. Sci. 144, Article ID 103126, 10 p. (2019; Zbl 1476.74122) Full Text: DOI
Babaei, Hamed; Basak, Anup; Levitas, Valery I. Algorithmic aspects and finite element solutions for advanced phase field approach to martensitic phase transformation under large strains. (English) Zbl 1466.74042 Comput. Mech. 64, No. 4, 1177-1197 (2019). MSC: 74S05 74N05 74N15 PDFBibTeX XMLCite \textit{H. Babaei} et al., Comput. Mech. 64, No. 4, 1177--1197 (2019; Zbl 1466.74042) Full Text: DOI Link
Fanzon, Silvio; Palombaro, Mariapia; Ponsiglione, Marcello Derivation of linearized polycrystals from a two-dimensional system of edge dislocations. (English) Zbl 1425.74071 SIAM J. Math. Anal. 51, No. 5, 3956-3981 (2019). MSC: 74B15 74N05 74N15 49J45 PDFBibTeX XMLCite \textit{S. Fanzon} et al., SIAM J. Math. Anal. 51, No. 5, 3956--3981 (2019; Zbl 1425.74071) Full Text: DOI arXiv
Barchiesi, Emilio; Eugster, Simon R.; Placidi, Luca; dell’Isola, Francesco Pantographic beam: a complete second gradient 1D-continuum in plane. (English) Zbl 1425.74387 Z. Angew. Math. Phys. 70, No. 5, Paper No. 135, 24 p. (2019). MSC: 74Q05 74B99 74N15 74S05 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Z. Angew. Math. Phys. 70, No. 5, Paper No. 135, 24 p. (2019; Zbl 1425.74387) Full Text: DOI HAL
Della Porta, Francesco Analysis of a moving mask hypothesis for martensitic transformations. (English) Zbl 1425.74049 J. Nonlinear Sci. 29, No. 5, 2341-2384 (2019). MSC: 74A50 74N05 74N10 74N15 74N20 PDFBibTeX XMLCite \textit{F. Della Porta}, J. Nonlinear Sci. 29, No. 5, 2341--2384 (2019; Zbl 1425.74049) Full Text: DOI arXiv
Kitavtsev, Georgy; Lauteri, Gianluca; Luckhaus, Stephan; Rüland, Angkana A compactness and structure result for a discrete multi-well problem with \(\mathrm{SO}(n)\) symmetry in arbitrary dimension. (English) Zbl 1453.74070 Arch. Ration. Mech. Anal. 232, No. 1, 531-555 (2019). MSC: 74N15 74C99 35Q74 PDFBibTeX XMLCite \textit{G. Kitavtsev} et al., Arch. Ration. Mech. Anal. 232, No. 1, 531--555 (2019; Zbl 1453.74070) Full Text: DOI arXiv
Anguige, Keith; Dondl, Patrick; Kružík, Martin On the existence of minimisers for strain-gradient single-crystal plasticity. (English) Zbl 07776834 ZAMM, Z. Angew. Math. Mech. 98, No. 3, 431-447 (2018). MSC: 49J10 49J45 74G65 74N15 PDFBibTeX XMLCite \textit{K. Anguige} et al., ZAMM, Z. Angew. Math. Mech. 98, No. 3, 431--447 (2018; Zbl 07776834) Full Text: DOI arXiv
Korchuganov, A. V. Hybrid molecular dynamics and Monte Carlo modeling to study physical-mechanical properties of high-entropy alloy CoCrFeMnNi. (English) Zbl 1488.82033 Math. Montisnigri 42, 65-73 (2018). MSC: 82M37 82M31 65C05 74N15 82D35 PDFBibTeX XMLCite \textit{A. V. Korchuganov}, Math. Montisnigri 42, 65--73 (2018; Zbl 1488.82033) Full Text: Link
Conti, Sergio; Dolzmann, Georg An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. (English) Zbl 1441.74145 J. Mech. Phys. Solids 113, 126-143 (2018). MSC: 74N15 49M20 PDFBibTeX XMLCite \textit{S. Conti} and \textit{G. Dolzmann}, J. Mech. Phys. Solids 113, 126--143 (2018; Zbl 1441.74145) Full Text: DOI
Sagiyama, K.; Garikipati, K. Unconditionally stable, second-order schemes for gradient-regularized, non-convex, finite-strain elasticity modeling martensitic phase transformations. (English) Zbl 1440.74265 Comput. Methods Appl. Mech. Eng. 338, 597-617 (2018). MSC: 74N15 74S05 65N30 PDFBibTeX XMLCite \textit{K. Sagiyama} and \textit{K. Garikipati}, Comput. Methods Appl. Mech. Eng. 338, 597--617 (2018; Zbl 1440.74265) Full Text: DOI arXiv
Gurtner, Gérald; Durand, Marc Correction to “Stiffest elastic networks”. (English) Zbl 1407.74067 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2218, Article ID 20180637, 1 p. (2018). MSC: 74N15 PDFBibTeX XMLCite \textit{G. Gurtner} and \textit{M. Durand}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2218, Article ID 20180637, 1 p. (2018; Zbl 1407.74067) Full Text: DOI
Lian, Yanping; Lin, Stephen; Yan, Wentao; Liu, Wing Kam; Wagner, Gregory J. A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing. (English) Zbl 1470.74072 Comput. Mech. 61, No. 5, 543-558 (2018). MSC: 74S99 74N15 68Q80 65Y05 PDFBibTeX XMLCite \textit{Y. Lian} et al., Comput. Mech. 61, No. 5, 543--558 (2018; Zbl 1470.74072) Full Text: DOI
Giuliani, A. Periodic states in systems with competing interactions. (English) Zbl 1398.82021 Markov Process. Relat. Fields 24, No. 3, 467-486 (2018). MSC: 82B20 74K35 74N15 PDFBibTeX XMLCite \textit{A. Giuliani}, Markov Process. Relat. Fields 24, No. 3, 467--486 (2018; Zbl 1398.82021)
Rau, Christian Horospherical coordinates for optimal Cosserat microrotations. (English) Zbl 1395.15015 Math. Methods Appl. Sci. 41, No. 12, 4877-4882 (2018). MSC: 15A60 53C22 53C80 74B20 74N15 53B20 PDFBibTeX XMLCite \textit{C. Rau}, Math. Methods Appl. Sci. 41, No. 12, 4877--4882 (2018; Zbl 1395.15015) Full Text: DOI
Clayton, John D.; Knap, J. Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations. (English) Zbl 1392.74073 Contin. Mech. Thermodyn. 30, No. 2, 421-455 (2018). MSC: 74N15 74N05 74R99 74S30 PDFBibTeX XMLCite \textit{J. D. Clayton} and \textit{J. Knap}, Contin. Mech. Thermodyn. 30, No. 2, 421--455 (2018; Zbl 1392.74073) Full Text: DOI
Rüland, Angkana; Zillinger, Christian; Zwicknagl, Barbara Higher Sobolev regularity of convex integration solutions in elasticity: the Dirichlet problem with affine data in \(\operatorname{int}(K^{lc})\). (English) Zbl 1395.35063 SIAM J. Math. Anal. 50, No. 4, 3791-3841 (2018). MSC: 35B65 35B36 74B20 74N15 PDFBibTeX XMLCite \textit{A. Rüland} et al., SIAM J. Math. Anal. 50, No. 4, 3791--3841 (2018; Zbl 1395.35063) Full Text: DOI arXiv
Fischle, Andreas; Neff, Patrizio The geometrically nonlinear Cosserat micropolar shear-stretch energy. II: Non-classical energy-minimizing microrotations in 3D and their computational validation. (English) Zbl 07777519 ZAMM, Z. Angew. Math. Mech. 97, No. 7, 843-871 (2017). MSC: 15A24 22E30 74A30 74A35 74B20 74G05 74G65 74N15 PDFBibTeX XMLCite \textit{A. Fischle} and \textit{P. Neff}, ZAMM, Z. Angew. Math. Mech. 97, No. 7, 843--871 (2017; Zbl 07777519) Full Text: DOI arXiv
Fischle, Andreas; Neff, Patrizio The geometrically nonlinear Cosserat micropolar shear-stretch energy. I: A general parameter reduction formula and energy-minimizing microrotations in 2D. (English) Zbl 07777518 ZAMM, Z. Angew. Math. Mech. 97, No. 7, 828-842 (2017). MSC: 15A24 74A30 74A35 74B20 74G05 74G65 74N15 PDFBibTeX XMLCite \textit{A. Fischle} and \textit{P. Neff}, ZAMM, Z. Angew. Math. Mech. 97, No. 7, 828--842 (2017; Zbl 07777518) Full Text: DOI arXiv
Moj, Lukas; Foppe, Manuel; Deike, Rüdiger; Ricken, Tim Micro-macro modelling of steel solidification: a continuum mechanical, bi-phasic, two-scale model including thermal driven phase transition. (English) Zbl 1525.74161 GAMM-Mitt. 40, No. 2, 125-137 (2017). MSC: 74N15 74S05 74S20 PDFBibTeX XMLCite \textit{L. Moj} et al., GAMM-Mitt. 40, No. 2, 125--137 (2017; Zbl 1525.74161) Full Text: DOI
Anand, Lallit A large deformation poroplasticity theory for microporous polymeric materials. (English) Zbl 1482.74067 J. Mech. Phys. Solids 98, 126-155 (2017). MSC: 74F10 74N15 76S05 74K15 PDFBibTeX XMLCite \textit{L. Anand}, J. Mech. Phys. Solids 98, 126--155 (2017; Zbl 1482.74067) Full Text: DOI
Goncharenko, M.; Khilkova, L. Homogenized model of non-stationary difusion in porous media with the drift. (English) Zbl 1391.35369 J. Math. Phys. Anal. Geom. 13, No. 2, 154-172 (2017). Reviewer: Dongbing Zha (Shanghai) MSC: 35Q74 74N15 76R50 35B40 76S05 76M50 PDFBibTeX XMLCite \textit{M. Goncharenko} and \textit{L. Khilkova}, J. Math. Phys. Anal. Geom. 13, No. 2, 154--172 (2017; Zbl 1391.35369) Full Text: DOI
Schneider, Daniel; Schwab, Felix; Schoof, Ephraim; Reiter, Andreas; Herrmann, Christoph; Selzer, Michael; Böhlke, Thomas; Nestler, Britta On the stress calculation within phase-field approaches: a model for finite deformations. (English) Zbl 1386.74111 Comput. Mech. 60, No. 2, 203-217 (2017). MSC: 74N15 74S20 65M06 PDFBibTeX XMLCite \textit{D. Schneider} et al., Comput. Mech. 60, No. 2, 203--217 (2017; Zbl 1386.74111) Full Text: DOI
Bourne, David P.; Conti, Sergio; Müller, Stefan Energy bounds for a compressed elastic film on a substrate. (English) Zbl 1387.74069 J. Nonlinear Sci. 27, No. 2, 453-494 (2017). MSC: 74K20 74N15 49J40 PDFBibTeX XMLCite \textit{D. P. Bourne} et al., J. Nonlinear Sci. 27, No. 2, 453--494 (2017; Zbl 1387.74069) Full Text: DOI arXiv Link