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
Bulíček, Miroslav; Hruška, David; Málek, Josef On evolutionary problems with a-priori bounded gradients. (English) Zbl 1518.35450 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 188, 31 p. (2023). MSC: 35K59 35K92 35D30 76D03 PDFBibTeX XMLCite \textit{M. Bulíček} et al., Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 188, 31 p. (2023; Zbl 1518.35450) Full Text: DOI arXiv
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
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks. (English) Zbl 1495.35170 Math. Models Methods Appl. Sci. 32, No. 7, 1475-1492 (2022). MSC: 35Q74 35J88 49J52 74A20 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 32, No. 7, 1475--1492 (2022; Zbl 1495.35170) 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
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
Bildhauer, M.; Fuchs, M. Splitting type variational problems with linear growth conditions. (English. Russian original) Zbl 1448.49011 J. Math. Sci., New York 250, No. 2, 232-249 (2020); translation from Probl. Mat. Anal. 105, 45-58 (2020). MSC: 49J30 35B65 PDFBibTeX XMLCite \textit{M. Bildhauer} and \textit{M. Fuchs}, J. Math. Sci., New York 250, No. 2, 232--249 (2020; Zbl 1448.49011); translation from Probl. Mat. Anal. 105, 45--58 (2020) 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
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
Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. (English) Zbl 1415.74011 J. Elasticity 135, No. 1-2, 375-397 (2019). MSC: 74B20 74B15 35Q74 PDFBibTeX XMLCite \textit{V. Kulvait} et al., J. Elasticity 135, No. 1--2, 375--397 (2019; Zbl 1415.74011) Full Text: DOI
Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. (English) Zbl 1375.35164 Arch. Ration. Mech. Anal. 225, No. 2, 717-769 (2017). MSC: 35J57 35J60 PDFBibTeX XMLCite \textit{L. Beck} et al., Arch. Ration. Mech. Anal. 225, No. 2, 717--769 (2017; Zbl 1375.35164) Full Text: DOI arXiv