Shcherbakov, Viktor Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks. (English) Zbl 1492.74133 Nonlinear Anal., Real World Appl. 65, Article ID 103505, 46 p. (2022). MSC: 74R10 74G65 35Q74 49J40 35B65 PDFBibTeX XMLCite \textit{V. Shcherbakov}, Nonlinear Anal., Real World Appl. 65, Article ID 103505, 46 p. (2022; Zbl 1492.74133) Full Text: DOI
Kovtunenko, Victor A. Poroelastic medium with non-penetrating crack driven by hydraulic fracture: variational inequality and its semidiscretization. (English) Zbl 1483.74028 J. Comput. Appl. Math. 405, Article ID 113953, 12 p. (2022). MSC: 74F10 76S05 74R20 49J40 PDFBibTeX XMLCite \textit{V. A. Kovtunenko}, J. Comput. Appl. Math. 405, Article ID 113953, 12 p. (2022; Zbl 1483.74028) Full Text: DOI
Almi, Stefano; Lazzaroni, Giuliano; Lucardesi, Ilaria Crack growth by vanishing viscosity in planar elasticity. (English) Zbl 1506.74343 Math. Eng. (Springfield) 2, No. 1, 141-173 (2020). MSC: 74R10 74B05 74H80 74H35 35Q74 PDFBibTeX XMLCite \textit{S. Almi} et al., Math. Eng. (Springfield) 2, No. 1, 141--173 (2020; Zbl 1506.74343) Full Text: DOI arXiv
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains. (English) Zbl 1409.35018 J. Optim. Theory Appl. 180, No. 2, 341-373 (2019). MSC: 35A35 35C20 35J15 35S05 49J40 49Q12 35B25 49M15 35B40 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., J. Optim. Theory Appl. 180, No. 2, 341--373 (2019; Zbl 1409.35018) Full Text: DOI
Khludnev, A. M.; Shcherbakov, V. V. A note on crack propagation paths inside elastic bodies. (English) Zbl 1458.74127 Appl. Math. Lett. 79, 80-84 (2018). MSC: 74R10 74B05 74E10 74G40 35Q35 49J40 PDFBibTeX XMLCite \textit{A. M. Khludnev} and \textit{V. V. Shcherbakov}, Appl. Math. Lett. 79, 80--84 (2018; Zbl 1458.74127) Full Text: DOI
Furtsev, Alekseĭ Igor’evich Differentiation of energy functional with respect to delamination’s length in problem of contact between plate and beam. (Russian. English summary) Zbl 1406.35394 Sib. Èlektron. Mat. Izv. 15, 935-949 (2018). MSC: 35Q74 74G65 74M15 74K10 74K20 PDFBibTeX XMLCite \textit{A. I. Furtsev}, Sib. Èlektron. Mat. Izv. 15, 935--949 (2018; Zbl 1406.35394) Full Text: DOI
Khludnev, Alexander M.; Shcherbakov, Viktor V. Singular path-independent energy integrals for elastic bodies with Euler-Bernoulli inclusions. (English) Zbl 1395.74039 Math. Mech. Solids 22, No. 11, 2180-2195 (2017). MSC: 74G65 74R10 74E05 74K10 PDFBibTeX XMLCite \textit{A. M. Khludnev} and \textit{V. V. Shcherbakov}, Math. Mech. Solids 22, No. 11, 2180--2195 (2017; Zbl 1395.74039) Full Text: DOI
Shcherbakov, Viktor Energy release rates for interfacial cracks in elastic bodies with thin semirigid inclusions. (English) Zbl 1365.35180 Z. Angew. Math. Phys. 68, No. 1, Paper No. 26, 18 p. (2017). MSC: 35Q74 49J40 49Q12 74R10 PDFBibTeX XMLCite \textit{V. Shcherbakov}, Z. Angew. Math. Phys. 68, No. 1, Paper No. 26, 18 p. (2017; Zbl 1365.35180) Full Text: DOI
Shcherbakov, V. V. The Griffith formula and \(J\)-integral for elastic bodies with Timoshenko inclusions. (English) Zbl 07775125 ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1306-1317 (2016). MSC: 35Q74 49J40 49Q12 74R10 PDFBibTeX XMLCite \textit{V. V. Shcherbakov}, ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1306--1317 (2016; Zbl 07775125) Full Text: DOI
Kovtunenko, Victor A.; Leugering, Günter A shape-topological control problem for nonlinear crack-defect interaction: the antiplane variational model. (English) Zbl 1342.35381 SIAM J. Control Optim. 54, No. 3, 1329-1351 (2016). MSC: 35Q74 35B25 49J40 49Q10 74G70 74R99 35Q93 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{G. Leugering}, SIAM J. Control Optim. 54, No. 3, 1329--1351 (2016; Zbl 1342.35381) Full Text: DOI arXiv
Leugering, Günter; Sokołowski, Jan; Żochowski, Antoni Control of crack propagation by shape-topological optimization. (English) Zbl 1335.35073 Discrete Contin. Dyn. Syst. 35, No. 6, 2625-2657 (2015). MSC: 35J86 49K40 74R10 31C25 35D30 PDFBibTeX XMLCite \textit{G. Leugering} et al., Discrete Contin. Dyn. Syst. 35, No. 6, 2625--2657 (2015; Zbl 1335.35073) Full Text: DOI
Leugering, Günter; Sokołowski, Jan; Zochowski, Antoni Shape- and topology optimization for passive control of crack propagation. (English) Zbl 1329.74232 Pratelli, Aldo (ed.) et al., New trends in shape optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-17562-1/hbk; 978-3-319-17563-8/ebook). ISNM. International Series of Numerical Mathematics 166, 141-197 (2015). MSC: 74P10 49Q10 74Rxx 49J40 PDFBibTeX XMLCite \textit{G. Leugering} et al., ISNM, Int. Ser. Numer. Math. 166, 141--197 (2015; Zbl 1329.74232) Full Text: DOI
Nazarov, Sergueï A.; Specovius-Neugebauer, Maria Modeling of cracks with nonlinear effects at the tip zones and the generalized energy criterion. (English) Zbl 1261.74029 Arch. Ration. Mech. Anal. 202, No. 3, 1019-1057 (2011). MSC: 74R10 74B05 74G65 35Q74 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, Arch. Ration. Mech. Anal. 202, No. 3, 1019--1057 (2011; Zbl 1261.74029) Full Text: DOI
Khludnev, Alexander; Sokołowski, Jan; Szulc, Katarzyna Shape and topological sensitivity analysis in domains with cracks. (English) Zbl 1224.49014 Appl. Math., Praha 55, No. 6, 433-469 (2010). MSC: 49J40 74K20 35J25 49K10 49Q10 PDFBibTeX XMLCite \textit{A. Khludnev} et al., Appl. Math., Praha 55, No. 6, 433--469 (2010; Zbl 1224.49014) Full Text: DOI EuDML Link
Khludnev, A. M.; Novotny, A. A.; Sokołowski, J.; Żochowski, A. Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions. (English) Zbl 1425.74042 J. Mech. Phys. Solids 57, No. 10, 1718-1732 (2009). MSC: 74A45 PDFBibTeX XMLCite \textit{A. M. Khludnev} et al., J. Mech. Phys. Solids 57, No. 10, 1718--1732 (2009; Zbl 1425.74042) Full Text: DOI HAL
Knees, Dorothee; Mielke, Alexander; Zanini, Chiara On the inviscid limit of a model for crack propagation. (English) Zbl 1151.49014 Math. Models Methods Appl. Sci. 18, No. 9, 1529-1569 (2008). MSC: 49J40 49L25 35K90 74B20 74G65 74R10 PDFBibTeX XMLCite \textit{D. Knees} et al., Math. Models Methods Appl. Sci. 18, No. 9, 1529--1569 (2008; Zbl 1151.49014) Full Text: DOI
Khludnev, Alexander; Tani, Atusi Unilateral contact problem for two inclined elastic bodies. (English) Zbl 1154.74372 Eur. J. Mech., A, Solids 27, No. 3, 365-377 (2008). MSC: 74M15 74G10 74G65 PDFBibTeX XMLCite \textit{A. Khludnev} and \textit{A. Tani}, Eur. J. Mech., A, Solids 27, No. 3, 365--377 (2008; Zbl 1154.74372) Full Text: DOI
Knees, Dorothee Griffith-formula and \(J\)-integral for a crack in a power-law hardening material. (English) Zbl 1121.74053 Math. Models Methods Appl. Sci. 16, No. 11, 1723-1749 (2006). MSC: 74R10 47J30 74B20 74G65 35J60 PDFBibTeX XMLCite \textit{D. Knees}, Math. Models Methods Appl. Sci. 16, No. 11, 1723--1749 (2006; Zbl 1121.74053) Full Text: DOI
Nazarov, S. A. A crack on the interface of anisotropic bodies. Singularities of elastic fields and fracture criteria at edge contacts. (Russian, English) Zbl 1100.74528 Prikl. Mat. Mekh. 69, No. 3, 520-532 (2005); translation in J. Appl. Math. Mech. 69, No. 3, 473-483 (2005). Reviewer: I. Ju. Babich (Kyïv) MSC: 74E10 74A45 74R99 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Prikl. Mat. Mekh. 69, No. 3, 520--532 (2005; Zbl 1100.74528); translation in J. Appl. Math. Mech. 69, No. 3, 473--483 (2005)
Andrieux, Stéphane; Varé, Christophe A 3D cracked beam model with unilateral contact. Application to rotors. (English) Zbl 1115.74340 Eur. J. Mech., A, Solids 21, No. 5, 793-810 (2002). MSC: 74K10 74R10 74M15 PDFBibTeX XMLCite \textit{S. Andrieux} and \textit{C. Varé}, Eur. J. Mech., A, Solids 21, No. 5, 793--810 (2002; Zbl 1115.74340) Full Text: DOI
Fremiot, G.; Sokolowski, J. The structure theorem for the Eulerian derivative of shape functionals defined on domains with cracks. (English. Russian original) Zbl 0967.74051 Sib. Math. J. 41, No. 5, 889-899 (2000); translation from Sib. Mat. Zh. 41, No. 5, 1183-1202 (2000). Reviewer: A.I.Kozhanov (Novosibirsk) MSC: 74R10 74B99 PDFBibTeX XMLCite \textit{G. Fremiot} and \textit{J. Sokolowski}, Sib. Math. J. 41, No. 5, 1183--1202 (2000; Zbl 0967.74051); translation from Sib. Mat. Zh. 41, No. 5, 1183--1202 (2000) Full Text: DOI EuDML