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
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
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
Lazarev, Nyurgun P.; Itou, Hiromichi Equilibrium problems for Kirchhoff-Love plates with nonpenetration conditions for known configurations of crack edges. (English) Zbl 07820946 Mat. Zamet. SVFU 27, No. 3, 52-65 (2020). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{N. P. Lazarev} and \textit{H. Itou}, Mat. Zamet. SVFU 27, No. 3, 52--65 (2020; Zbl 07820946) 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
Lazarev, Nyurgun; Itou, Hiromichi Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff-Love plates with a crack. (English) Zbl 07273390 Math. Mech. Solids 24, No. 12, 3743-3752 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{N. Lazarev} and \textit{H. Itou}, Math. Mech. Solids 24, No. 12, 3743--3752 (2019; Zbl 07273390) 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
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