Saccomandi, Giuseppe; Vergori, Luigi Waves in isotropic dispersive elastic solids. (English) Zbl 1524.74065 Wave Motion 116, Article ID 103066, 16 p. (2023). MSC: 74B20 74H05 74J30 PDFBibTeX XMLCite \textit{G. Saccomandi} and \textit{L. Vergori}, Wave Motion 116, Article ID 103066, 16 p. (2023; Zbl 1524.74065) Full Text: DOI
Coclite, G. M.; Maddalena, F.; Puglisi, G.; Romano, M.; Saccomandi, G. The Gardner equation in elastodynamics. (English) Zbl 1478.35141 SIAM J. Appl. Math. 81, No. 6, 2346-2361 (2021). MSC: 35L53 35L72 35C08 35Q53 74J35 74B20 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., SIAM J. Appl. Math. 81, No. 6, 2346--2361 (2021; Zbl 1478.35141) Full Text: DOI
Lizama, Carlos; Murillo-Arcila, Marina \(L^p-L^q\)-maximal regularity of the Van Wijngaarden-Eringen equation in a cylindrical domain. (English) Zbl 1486.49037 Adv. Difference Equ. 2020, Paper No. 591, 9 p. (2020). MSC: 49K40 35B65 76D03 35L80 47N20 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{M. Murillo-Arcila}, Adv. Difference Equ. 2020, Paper No. 591, 9 p. (2020; Zbl 1486.49037) Full Text: DOI
Owczarek, Sebastian; Ghiba, Ionel-Dumitrel; d’Agostino, Marco-Valerio; Neff, Patrizio Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. (English) Zbl 07273362 Math. Mech. Solids 24, No. 10, 3200-3215 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Owczarek} et al., Math. Mech. Solids 24, No. 10, 3200--3215 (2019; Zbl 07273362) Full Text: DOI arXiv
Garbuzov, F. E.; Khusnutdinova, K. R.; Semenova, I. V. On Boussinesq-type models for long longitudinal waves in elastic rods. (English) Zbl 1524.74201 Wave Motion 88, 129-143 (2019). MSC: 74J10 74J30 PDFBibTeX XMLCite \textit{F. E. Garbuzov} et al., Wave Motion 88, 129--143 (2019; Zbl 1524.74201) Full Text: DOI arXiv
Cirillo, Emilio N. M.; Saccomandi, Giuseppe; Sciarra, Giulio Compact structures as true non-linear phenomena. (English) Zbl 1435.35106 Math. Eng. (Springfield) 1, No. 3, 434-446 (2019). MSC: 35C07 PDFBibTeX XMLCite \textit{E. N. M. Cirillo} et al., Math. Eng. (Springfield) 1, No. 3, 434--446 (2019; Zbl 1435.35106) Full Text: DOI
Jordan, Pedro M.; Keiffer, R. S.; Saccomandi, G. A re-examination of weakly-nonlinear acoustic traveling waves in thermoviscous fluids under Rubin-Rosenau-Gottlieb theory. (English) Zbl 1524.76380 Wave Motion 76, 1-8 (2018). MSC: 76Q05 76D17 PDFBibTeX XMLCite \textit{P. M. Jordan} et al., Wave Motion 76, 1--8 (2018; Zbl 1524.76380) Full Text: DOI
Christov, Ivan C.; Kress, Tyler; Saxena, Avadh Peakompactons: peaked compact nonlinear waves. (English) Zbl 1364.35306 Int. J. Mod. Phys. B 31, No. 10, Article ID 1742008, 27 p. (2017). MSC: 35Q53 35C08 35C07 PDFBibTeX XMLCite \textit{I. C. Christov} et al., Int. J. Mod. Phys. B 31, No. 10, Article ID 1742008, 27 p. (2017; Zbl 1364.35306) Full Text: DOI arXiv
Askes, Harm; Gitman, Inna Reducible and irreducible forms of stabilised gradient elasticity in dynamics. (English) Zbl 1381.74017 Math. Mech. Complex Syst. 5, No. 1, 1-17 (2017). MSC: 74B05 74M25 PDFBibTeX XMLCite \textit{H. Askes} and \textit{I. Gitman}, Math. Mech. Complex Syst. 5, No. 1, 1--17 (2017; Zbl 1381.74017) Full Text: DOI
Gouin, Henri; Saccomandi, Giuseppe Travelling waves of density for a fourth-gradient model of fluids. (English) Zbl 1355.76005 Contin. Mech. Thermodyn. 28, No. 5, 1511-1523 (2016). MSC: 76A02 76D33 74F10 PDFBibTeX XMLCite \textit{H. Gouin} and \textit{G. Saccomandi}, Contin. Mech. Thermodyn. 28, No. 5, 1511--1523 (2016; Zbl 1355.76005) Full Text: DOI arXiv
Jordan, P. M.; Keiffer, R. S. A note on finite-scale Navier-Stokes theory: The case of constant viscosity, strictly adiabatic flow. (English) Zbl 1304.76052 Phys. Lett., A 379, No. 3, 124-130 (2015). MSC: 76Q05 35Q30 35C07 PDFBibTeX XMLCite \textit{P. M. Jordan} and \textit{R. S. Keiffer}, Phys. Lett., A 379, No. 3, 124--130 (2015; Zbl 1304.76052) Full Text: DOI
Jordan, P. M.; Keiffer, R. S.; Saccomandi, G. Anomalous propagation of acoustic traveling waves in thermoviscous fluids under the Rubin-Rosenau-Gottlieb theory of dispersive media. (English) Zbl 1456.76116 Wave Motion 51, No. 2, 382-388 (2014). MSC: 76Q05 76A10 76N99 PDFBibTeX XMLCite \textit{P. M. Jordan} et al., Wave Motion 51, No. 2, 382--388 (2014; Zbl 1456.76116) Full Text: DOI
Hui, Tong; Oskay, Caglar A high order homogenization model for transient dynamics of heterogeneous media including micro-inertia effects. (English) Zbl 1296.74091 Comput. Methods Appl. Mech. Eng. 273, 181-203 (2014). MSC: 74Q10 74S05 65M60 74A40 PDFBibTeX XMLCite \textit{T. Hui} and \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 273, 181--203 (2014; Zbl 1296.74091) Full Text: DOI
Hollenstein, M.; Jabareen, M.; Rubin, M. B. Modeling a smooth elastic-inelastic transition with a strongly objective numerical integrator needing no iteration. (English) Zbl 1282.74105 Comput. Mech. 52, No. 3, 649-667 (2013); erratum ibid. 55, No. 2, 453 (2015). MSC: 74S30 74C10 PDFBibTeX XMLCite \textit{M. Hollenstein} et al., Comput. Mech. 52, No. 3, 649--667 (2013; Zbl 1282.74105) Full Text: DOI
Lacitignola, D.; Saccomandi, G. An anomalous feature in a semi-inverse solution of a simple model of non-Newtonian fluid mechanics. (English) Zbl 1423.76025 Int. J. Eng. Sci. 60, 94-98 (2012). MSC: 76A05 PDFBibTeX XMLCite \textit{D. Lacitignola} and \textit{G. Saccomandi}, Int. J. Eng. Sci. 60, 94--98 (2012; Zbl 1423.76025) Full Text: DOI
Askes, Harm; Nguyen, Duc C. D.; Tyas, Andy Increasing the critical time step: micro-inertia, inertia penalties and mass scaling. (English) Zbl 1398.74297 Comput. Mech. 47, No. 6, 657-667 (2011). MSC: 74S05 65M12 PDFBibTeX XMLCite \textit{H. Askes} et al., Comput. Mech. 47, No. 6, 657--667 (2011; Zbl 1398.74297) Full Text: DOI
Metrikine, Andrei V.; Prokhorova, Julia M. On the uniqueness of the Lagrangian of gradient elastic continua. (English) Zbl 1396.74035 Maugin, Gérard A. (ed.) et al., Mechanics of generalized continua. One hundred years after the Cosserats. Papers based on the presentations at the EUROMECH colloquium 510, Paris, France, May 13–16, 2009. New York, NY: Springer (ISBN 978-1-4419-5694-1/hbk; 978-1-4614-2574-8/pbk; 978-1-4419-5695-8/ebook). Advances in Mechanics and Mathematics 21, 149-160 (2010). MSC: 74B99 74A10 PDFBibTeX XMLCite \textit{A. V. Metrikine} and \textit{J. M. Prokhorova}, Adv. Mech. Math. 21, 149--160 (2010; Zbl 1396.74035) Full Text: DOI
Andrianov, I. V.; Awrejcewicz, J.; Weichert, D. Improved continuous models for discrete media. (English) Zbl 1191.76102 Math. Probl. Eng. 2010, Article ID 986242, 35 p. (2010). MSC: 76T25 PDFBibTeX XMLCite \textit{I. V. Andrianov} et al., Math. Probl. Eng. 2010, Article ID 986242, 35 p. (2010; Zbl 1191.76102) Full Text: DOI EuDML
Bennett, Terry; Askes, Harm Finite element modelling of wave dispersion with dynamically consistent gradient elasticity. (English) Zbl 1398.74300 Comput. Mech. 43, No. 6, 815-825 (2009). MSC: 74S05 74J20 74J10 74B99 PDFBibTeX XMLCite \textit{T. Bennett} and \textit{H. Askes}, Comput. Mech. 43, No. 6, 815--825 (2009; Zbl 1398.74300) Full Text: DOI
Destrade, M.; Saccomandi, G. Nonlinear transverse waves in deformed dispersive solids. (English) Zbl 1231.74244 Wave Motion 45, No. 3, 325-336 (2008). MSC: 74J30 74B20 PDFBibTeX XMLCite \textit{M. Destrade} and \textit{G. Saccomandi}, Wave Motion 45, No. 3, 325--336 (2008; Zbl 1231.74244) Full Text: DOI arXiv
Bennett, Terry; Gitman, Inna M.; Askes, Harm Elasticity theories with higher-order gradients of inertia and stiffness for the modelling of wave dispersion in laminates. (English) Zbl 1264.74121 Int. J. Fract. 148, No. 2, 185-193 (2007). MSC: 74J10 74E30 74B99 PDFBibTeX XMLCite \textit{T. Bennett} et al., Int. J. Fract. 148, No. 2, 185--193 (2007; Zbl 1264.74121) Full Text: DOI
Saccomandi, Giuseppe Finite-amplitude waves in nonlinear elastodynamics and related theories: a personal overview. (English) Zbl 1167.74027 Destrade, Michel (ed.) et al., Waves in nonlinear pre-stressed materials. Papers based on the presentation at CISM course, Udine, Italy, September 2006. Wien: Springer (ISBN 978-3-211-73571-8/hbk; 978-3-211-73572-5/ebook). CISM Courses and Lectures 495, 129-179 (2007). MSC: 74J30 74J35 74-02 PDFBibTeX XMLCite \textit{G. Saccomandi}, in: Waves in nonlinear pre-stressed materials. Papers based on the presentation at CISM course, Udine, Italy, September 2006. Wien: Springer. 129--179 (2007; Zbl 1167.74027) Full Text: DOI
Destrade, Michel; Saccomandi, Giuseppe Solitary and compactlike shear waves in the bulk of solids. (English) Zbl 1244.74069 Phys. Rev. E (3) 73, No. 6, Article ID 065604, 4 p. (2006). MSC: 74J10 74J35 74J30 PDFBibTeX XMLCite \textit{M. Destrade} and \textit{G. Saccomandi}, Phys. Rev. E (3) 73, No. 6, Article ID 065604, 4 p. (2006; Zbl 1244.74069) Full Text: DOI arXiv
Jordan, P. M.; Feuillade, C. A note on Love’s equation with damping. (English) Zbl 1149.74344 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2063-2076 (2006). MSC: 74H99 35Q72 PDFBibTeX XMLCite \textit{P. M. Jordan} and \textit{C. Feuillade}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2063--2076 (2006; Zbl 1149.74344) Full Text: DOI
Quintanilla, Ramon; Saccomandi, Giuseppe Spatial behavior for a fourth-order dispersive equation. (English) Zbl 1111.35091 Q. Appl. Math. 64, No. 3, 547-560 (2006). MSC: 35Q72 74J05 74H45 PDFBibTeX XMLCite \textit{R. Quintanilla} and \textit{G. Saccomandi}, Q. Appl. Math. 64, No. 3, 547--560 (2006; Zbl 1111.35091) Full Text: DOI
Metrikine, Andrei V.; Askes, Harm One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation. (English) Zbl 1006.74016 Eur. J. Mech., A, Solids 21, No. 4, 555-572 (2002). MSC: 74B99 74A60 82B21 PDFBibTeX XMLCite \textit{A. V. Metrikine} and \textit{H. Askes}, Eur. J. Mech., A, Solids 21, No. 4, 555--572 (2002; Zbl 1006.74016) Full Text: DOI