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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly. (English) Zbl 1528.35190 Z. Angew. Math. Phys. 75, No. 1, Paper No. 22, 14 p. (2024). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Z. Angew. Math. Phys. 75, No. 1, Paper No. 22, 14 p. (2024; Zbl 1528.35190) Full Text: DOI OA License
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. A generalization of the Kelvin-Voigt model with pressure-dependent moduli in which both stress and strain appear linearly. (English) Zbl 07793789 Math. Methods Appl. Sci. 46, No. 14, 15641-15654 (2023). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Methods Appl. Sci. 46, No. 14, 15641--15654 (2023; Zbl 07793789) Full Text: DOI OA License
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
Bulíček, Miroslav; Patel, Victoria; Süli, Endre; Şengül, Yasemin Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data. (English) Zbl 1504.35533 SIAM J. Math. Anal. 54, No. 6, 6186-6222 (2022). MSC: 35Q74 35M13 35K99 35D30 35B65 35A01 35A02 74D10 74H20 PDFBibTeX XMLCite \textit{M. Bulíček} et al., SIAM J. Math. Anal. 54, No. 6, 6186--6222 (2022; Zbl 1504.35533) Full Text: DOI arXiv
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Lagrange multiplier approach to unilateral indentation problems: well-posedness and application to linearized viscoelasticity with non-invertible constitutive response. (English) Zbl 1473.35551 Math. Models Methods Appl. Sci. 31, No. 3, 649-674 (2021). MSC: 35Q74 49J40 74D99 74M15 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 31, No. 3, 649--674 (2021; Zbl 1473.35551) 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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. On an implicit model linear in both stress and strain to describe the response of porous solids. (English) Zbl 1465.74048 J. Elasticity 144, No. 1, 107-118 (2021). MSC: 74F10 74B20 35Q74 PDFBibTeX XMLCite \textit{H. Itou} et al., J. Elasticity 144, No. 1, 107--118 (2021; Zbl 1465.74048) Full Text: DOI
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity. (English) Zbl 1465.74129 Int. J. Eng. Sci. 151, Article ID 103272, 11 p. (2020). MSC: 74M15 74D05 74H05 PDFBibTeX XMLCite \textit{H. Itou} et al., Int. J. Eng. Sci. 151, Article ID 103272, 11 p. (2020; Zbl 1465.74129) Full Text: DOI
Khludnev, A. M. On modeling thin inclusions in elastic bodies with a damage parameter. (English) Zbl 07273337 Math. Mech. Solids 24, No. 9, 2742-2753 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{A. M. Khludnev}, Math. Mech. Solids 24, No. 9, 2742--2753 (2019; Zbl 07273337) Full Text: DOI
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress. (English) Zbl 1425.74081 Int. J. Eng. Sci. 136, 17-25 (2019). MSC: 74B20 35B30 35Q74 49J52 74R10 PDFBibTeX XMLCite \textit{H. Itou} et al., Int. J. Eng. Sci. 136, 17--25 (2019; Zbl 1425.74081) Full Text: DOI
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. (English) Zbl 1411.35249 Math. Models Methods Appl. Sci. 29, No. 2, 355-372 (2019). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 29, No. 2, 355--372 (2019; Zbl 1411.35249) Full Text: DOI