Vasilyeva, Maria; Mallikarjunaiah, S. M. Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model. (English) Zbl 07813978 Multiscale Model. Simul. 22, No. 1, 334-368 (2024). MSC: 65N30 65N50 74B20 74R10 74S05 35P99 35Q74 PDFBibTeX XMLCite \textit{M. Vasilyeva} and \textit{S. M. Mallikarjunaiah}, Multiscale Model. Simul. 22, No. 1, 334--368 (2024; Zbl 07813978) Full Text: DOI
Rajagopal, K. R.; Rodriguez, C. On an elastic strain-limiting special Cosserat rod model. (English) Zbl 1517.74059 Math. Models Methods Appl. Sci. 33, No. 1, 1-30 (2023). MSC: 74K10 74B20 74G60 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{C. Rodriguez}, Math. Models Methods Appl. Sci. 33, No. 1, 1--30 (2023; Zbl 1517.74059) Full Text: DOI arXiv
Gou, Kun; Mallikarjunaiah, S. M. Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid. (English) Zbl 1512.74086 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107217, 15 p. (2023). MSC: 74R10 74S05 74G70 74B15 74B20 PDFBibTeX XMLCite \textit{K. Gou} and \textit{S. M. Mallikarjunaiah}, Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107217, 15 p. (2023; Zbl 1512.74086) Full Text: DOI
Průša, Vít; Rajagopal, Kumbakonam Ramamani; Wineman, Alan Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters. (English) Zbl 07601723 Math. Mech. Solids 27, No. 8, 1546-1558 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{V. Průša} et al., Math. Mech. Solids 27, No. 8, 1546--1558 (2022; Zbl 07601723) Full Text: DOI
Şengül, Yasemin Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory. (English) Zbl 1506.74078 Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 319-332 (2022). Reviewer: Vinod K. Arya (Dallas) MSC: 74D10 74A20 74H20 35Q74 PDFBibTeX XMLCite \textit{Y. Şengül}, Assoc. Women Math. Ser. 31, 319--332 (2022; Zbl 1506.74078) Full Text: DOI
Yoon, Hyun C.; Mallikarjunaiah, S. M. A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies. (English) Zbl 07590424 Math. Mech. Solids 27, No. 2, 281-307 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{H. C. Yoon} and \textit{S. M. Mallikarjunaiah}, Math. Mech. Solids 27, No. 2, 281--307 (2022; Zbl 07590424) Full Text: DOI
Ibarra, R.; Bustamante, R. Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains. (English) Zbl 1524.74061 Wave Motion 113, Article ID 102985, 15 p. (2022). MSC: 74B20 74L05 PDFBibTeX XMLCite \textit{R. Ibarra} and \textit{R. Bustamante}, Wave Motion 113, Article ID 102985, 15 p. (2022; Zbl 1524.74061) Full Text: DOI
Yoon, Hyun Chul; Vasudeva, Karthik K.; Mallikarjunaiah, S. M. Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body. (English) Zbl 1482.74159 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106262, 24 p. (2022). MSC: 74S05 74F05 74B15 74G70 PDFBibTeX XMLCite \textit{H. C. Yoon} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106262, 24 p. (2022; Zbl 1482.74159) Full Text: DOI arXiv
Lee, Sanghyun; Yoon, Hyun Chul; Mallikarjunaiah, S. M. Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach. (English) Zbl 1524.74402 J. Comput. Appl. Math. 399, Article ID 113715, 21 p. (2022). MSC: 74R10 74B20 74S05 74F10 35Q74 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 399, Article ID 113715, 21 p. (2022; Zbl 1524.74402) Full Text: DOI
Gu, Diandian; Dai, Hui-Hui; Xu, Fan Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework. (English) Zbl 07444785 Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{D. Gu} et al., Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021; Zbl 07444785) Full Text: DOI
Bulíček, Miroslav; Patel, Victoria; Şengül, Yasemin; Süli, Endre Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body. (English) Zbl 1472.35092 Commun. Pure Appl. Anal. 20, No. 5, 1931-1960 (2021). Reviewer: Igor Bock (Bratislava) MSC: 35D30 74D10 74H20 35L53 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Commun. Pure Appl. Anal. 20, No. 5, 1931--1960 (2021; Zbl 1472.35092) Full Text: DOI arXiv
Şengül, Yasemin Viscoelasticity with limiting strain. (English) Zbl 1454.74026 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 57-70 (2021). MSC: 74D99 74A20 35Q74 74A05 74A10 PDFBibTeX XMLCite \textit{Y. Şengül}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 57--70 (2021; Zbl 1454.74026) Full Text: DOI
Shariff, M. H. B. M.; Bustamante, R. A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics. (English) Zbl 1457.74188 Acta Mech. 231, No. 11, 4803-4818 (2020). MSC: 74S25 74L10 PDFBibTeX XMLCite \textit{M. H. B. M. Shariff} and \textit{R. Bustamante}, Acta Mech. 231, No. 11, 4803--4818 (2020; Zbl 1457.74188) Full Text: DOI
Magan, Avnish Bhowan; Mason, David; Harley, Charis Elastic waves in a circular cylinder and cylindrical annulus for a subclass of implicit constitutive equations. (English) Zbl 1446.74149 Math. Mech. Solids 25, No. 2, 201-233 (2020). MSC: 74J30 74J35 74B20 PDFBibTeX XMLCite \textit{A. B. Magan} et al., Math. Mech. Solids 25, No. 2, 201--233 (2020; Zbl 1446.74149) Full Text: DOI
Bustamante, R. Some universal solutions for incompressible elastic bodies that are not Green elastic. (English) Zbl 1476.74009 Int. J. Eng. Sci. 149, Article ID 103223, 11 p. (2020). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{R. Bustamante}, Int. J. Eng. Sci. 149, Article ID 103223, 11 p. (2020; Zbl 1476.74009) Full Text: DOI
Erbay, H. A.; Erkip, A.; Şengül, Y. Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity. (English) Zbl 1453.35048 J. Differ. Equations 269, No. 11, 9720-9739 (2020). Reviewer: Igor Bock (Bratislava) MSC: 35G25 74D10 35L72 35L15 PDFBibTeX XMLCite \textit{H. A. Erbay} et al., J. Differ. Equations 269, No. 11, 9720--9739 (2020; Zbl 1453.35048) Full Text: DOI arXiv
Fu, Shubin; Chung, Eric; Mai, Tina Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity. (English) Zbl 1437.74026 J. Comput. Phys. 417, Article ID 109569, 25 p. (2020). MSC: 74S05 74B20 65M60 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Phys. 417, Article ID 109569, 25 p. (2020; Zbl 1437.74026) Full Text: DOI arXiv
Bustamante, Roger; Rajagopal, Kumbakonam A review of implicit constitutive theories to describe the response of elastic bodies. (English) Zbl 1445.74004 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 187-230 (2020). MSC: 74A20 74B99 74F15 74F05 74-02 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. Rajagopal}, Solid Mech. Appl. 262, 187--230 (2020; Zbl 1445.74004) Full Text: DOI
Erbay, H. A.; Şengül, Y. A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity. (English) Zbl 1435.74007 Z. Angew. Math. Phys. 71, No. 3, Paper No. 94, 10 p. (2020). MSC: 74A15 74D05 74D10 74A05 74A10 74A20 74B05 PDFBibTeX XMLCite \textit{H. A. Erbay} and \textit{Y. Şengül}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 94, 10 p. (2020; Zbl 1435.74007) Full Text: DOI arXiv
Bustamante, Roger New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. (English) Zbl 07205508 Int. J. Eng. Sci. 152, Article ID 103308, 17 p. (2020); corrigendum ibid. 195, Article ID 103967, 2 p. (2024)]. MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{R. Bustamante}, Int. J. Eng. Sci. 152, Article ID 103308, 17 p. (2020; Zbl 07205508) Full Text: DOI
Fu, Shubin; Chung, Eric; Mai, Tina Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model. (English) Zbl 1416.74084 J. Comput. Appl. Math. 359, 153-165 (2019). MSC: 74S05 74B20 65N30 PDFBibTeX XMLCite \textit{S. Fu} et al., J. Comput. Appl. Math. 359, 153--165 (2019; Zbl 1416.74084) Full Text: DOI arXiv
Benešová, Barbora; Kružík, Martin; Schlömerkemper, Anja A note on locking materials and gradient polyconvexity. (English) Zbl 1411.49007 Math. Models Methods Appl. Sci. 28, No. 12, 2367-2401 (2018). MSC: 49J45 35B05 74B20 PDFBibTeX XMLCite \textit{B. Benešová} et al., Math. Models Methods Appl. Sci. 28, No. 12, 2367--2401 (2018; Zbl 1411.49007) Full Text: DOI arXiv
Shankar, L. S.; Rajthilak, S.; Saravanan, U. Numerical technique for solving truss and plane problems for a new class of elastic bodies. (English) Zbl 1380.74018 Acta Mech. 227, No. 11, 3147-3176 (2016). MSC: 74B20 74G15 74G70 74S30 PDFBibTeX XMLCite \textit{L. S. Shankar} et al., Acta Mech. 227, No. 11, 3147--3176 (2016; Zbl 1380.74018) Full Text: DOI
Mai, Tina; Walton, Jay R. On strong ellipticity for implicit and strain-limiting theories of elasticity. (English) Zbl 07278982 Math. Mech. Solids 20, No. 2, 121-139 (2015). MSC: 74-XX PDFBibTeX XMLCite \textit{T. Mai} and \textit{J. R. Walton}, Math. Mech. Solids 20, No. 2, 121--139 (2015; Zbl 07278982) Full Text: DOI
Feireisl, E.; Liao, X.; Málek, J. Global weak solutions to a class of non-Newtonian compressible fluids. (English) Zbl 1335.35180 Math. Methods Appl. Sci. 38, No. 16, 3482-3494 (2015). MSC: 35Q30 76A05 35D30 76N10 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Methods Appl. Sci. 38, No. 16, 3482--3494 (2015; Zbl 1335.35180) Full Text: DOI
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. (English) Zbl 1329.35302 Calc. Var. Partial Differ. Equ. 54, No. 2, 2115-2147 (2015). MSC: 35Q74 74B20 49Q05 74P10 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Calc. Var. Partial Differ. Equ. 54, No. 2, 2115--2147 (2015; Zbl 1329.35302) Full Text: DOI
Bulíček, M.; Málek, J.; Süli, E. Analysis and approximation of a strain-limiting nonlinear elastic model. (English) Zbl 1327.74032 Math. Mech. Solids 20, No. 1, 92-118 (2015). MSC: 74B20 74G25 74G30 35Q74 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Math. Mech. Solids 20, No. 1, 92--118 (2015; Zbl 1327.74032) Full Text: DOI Link
Bustamante, R.; Sfyris, D. Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. (English) Zbl 1327.74080 Math. Mech. Solids 20, No. 1, 80-91 (2015); corrigendum ibid. 25, No. 3, 866-868 (2020). MSC: 74J10 74B99 74A10 PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{D. Sfyris}, Math. Mech. Solids 20, No. 1, 80--91 (2015; Zbl 1327.74080) Full Text: DOI
Case, James Preface: Kumbakonam Ramamani Rajagopal. (English) Zbl 1322.01038 Math. Mech. Solids 20, No. 1, 4-8 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{J. Case}, Math. Mech. Solids 20, No. 1, 4--8 (2015; Zbl 1322.01038) Full Text: DOI
Mai, Tina; Walton, Jay R. On monotonicity for strain-limiting theories of elasticity. (English) Zbl 1315.74007 J. Elasticity 120, No. 1, 39-65 (2015). MSC: 74B20 PDFBibTeX XMLCite \textit{T. Mai} and \textit{J. R. Walton}, J. Elasticity 120, No. 1, 39--65 (2015; Zbl 1315.74007) Full Text: DOI
Bridges, C.; Rajagopal, K. R. Implicit constitutive models with a thermodynamic basis: a study of stress concentration. (English) Zbl 1317.74008 Z. Angew. Math. Phys. 66, No. 1, 191-208 (2015). MSC: 74A20 74R99 74B99 PDFBibTeX XMLCite \textit{C. Bridges} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 66, No. 1, 191--208 (2015; Zbl 1317.74008) Full Text: DOI
Kannan, K.; Rajagopal, K. R.; Saccomandi, G. Unsteady motions of a new class of elastic solids. (English) Zbl 1456.74017 Wave Motion 51, No. 5, 833-843 (2014). MSC: 74B20 74B15 35Q74 PDFBibTeX XMLCite \textit{K. Kannan} et al., Wave Motion 51, No. 5, 833--843 (2014; Zbl 1456.74017) Full Text: DOI
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre On elastic solids with limiting small strain: modelling and analysis. (English) Zbl 1314.35184 EMS Surv. Math. Sci. 1, No. 2, 283-332 (2014). MSC: 35Q74 35F50 74B99 35D30 PDFBibTeX XMLCite \textit{M. Bulíček} et al., EMS Surv. Math. Sci. 1, No. 2, 283--332 (2014; Zbl 1314.35184) Full Text: DOI
Rajagopal, K. R.; Wineman, Alan S. Universal relations for a new class of elastic bodies. (English) Zbl 1345.74021 Math. Mech. Solids 19, No. 4, 440-448 (2014). MSC: 74B99 74A20 PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. S. Wineman}, Math. Mech. Solids 19, No. 4, 440--448 (2014; Zbl 1345.74021) Full Text: DOI
Rajagopal, K. R. On the nonlinear elastic response of bodies in the small strain range. (English) Zbl 1401.74045 Acta Mech. 225, No. 6, 1545-1553 (2014). MSC: 74B20 74B15 PDFBibTeX XMLCite \textit{K. R. Rajagopal}, Acta Mech. 225, No. 6, 1545--1553 (2014; Zbl 1401.74045) Full Text: DOI
Muliana, A.; Rajagopal, K. R.; Wineman, A. S. A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials. (English) Zbl 1291.74051 Acta Mech. 224, No. 9, 2169-2183 (2013). Reviewer: Vladimir P. Radchenko (Samara) MSC: 74D10 PDFBibTeX XMLCite \textit{A. Muliana} et al., Acta Mech. 224, No. 9, 2169--2183 (2013; Zbl 1291.74051) Full Text: DOI
Bustamante, R.; Rajagopal, K. R. On the inhomogeneous shearing of a new class of elastic bodies. (English) Zbl 07278888 Math. Mech. Solids 17, No. 7, 762-778 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{R. Bustamante} and \textit{K. R. Rajagopal}, Math. Mech. Solids 17, No. 7, 762--778 (2012; Zbl 07278888) Full Text: DOI
Rajagopal, K. R.; Saravanan, U. Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies. (English) Zbl 07278874 Math. Mech. Solids 17, No. 5, 473-499 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{U. Saravanan}, Math. Mech. Solids 17, No. 5, 473--499 (2012; Zbl 07278874) Full Text: DOI
Ortiz, A.; Bustamante, R.; Rajagopal, K. R. A numerical study of a plate with a hole for a new class of elastic bodies. (English) Zbl 1356.74122 Acta Mech. 223, No. 9, 1971-1981 (2012). MSC: 74K20 74S05 74B20 PDFBibTeX XMLCite \textit{A. Ortiz} et al., Acta Mech. 223, No. 9, 1971--1981 (2012; Zbl 1356.74122) Full Text: DOI Link