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
Lazarev, N. P.; Kovtunenko, V. A. Asymptotic analysis of the problem of equilibrium of an inhomogeneous body with hinged rigid inclusions of various widths. (English. Russian original) Zbl 07817102 J. Appl. Mech. Tech. Phys. 64, No. 5, 911-920 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 5, 205-215 (2023). MSC: 74Gxx 74Rxx 49Jxx PDFBibTeX XMLCite \textit{N. P. Lazarev} and \textit{V. A. Kovtunenko}, J. Appl. Mech. Tech. Phys. 64, No. 5, 911--920 (2023; Zbl 07817102); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 5, 205--215 (2023) Full Text: DOI
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
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
Kovtunenko, Victor A.; Kunisch, Karl Shape derivative for penalty-constrained nonsmooth-nonconvex optimization: cohesive crack problem. (English) Zbl 1495.35220 J. Optim. Theory Appl. 194, No. 2, 597-635 (2022). MSC: 35R37 49J40 49Q10 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{K. Kunisch}, J. Optim. Theory Appl. 194, No. 2, 597--635 (2022; Zbl 1495.35220) Full Text: DOI arXiv
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
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
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
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
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
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body. (English) Zbl 1404.74028 Math. Mech. Solids 23, No. 3, 433-444 (2018). MSC: 74D10 74R20 74H20 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Mech. Solids 23, No. 3, 433--444 (2018; Zbl 1404.74028) Full Text: DOI
Kovtunenko, V. A.; Ohtsuka, K. Shape differentiability of Lagrangians and application to Stokes problem. (English) Zbl 1401.49011 SIAM J. Control Optim. 56, No. 5, 3668-3684 (2018). MSC: 49J40 49Q12 49J35 35Q30 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} and \textit{K. Ohtsuka}, SIAM J. Control Optim. 56, No. 5, 3668--3684 (2018; Zbl 1401.49011) Full Text: DOI arXiv
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Contacting crack faces within the context of bodies exhibiting limiting strains. (English) Zbl 1409.74004 JSIAM Lett. 9, 61-64 (2017). MSC: 74A45 74B20 PDFBibTeX XMLCite \textit{H. Itou} et al., JSIAM Lett. 9, 61--64 (2017; Zbl 1409.74004) Full Text: DOI