Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks

DOI10.1142/S0218202522500336zbMath1495.35170MaRDI QIDQ5104590

Victor A. Kovtunenko, Hiromichi Itou, Kumbakonam R. Rajagopal

Publication date: 14 September 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

regularizationvariational inequalityblow-upnonlinear elasticitycracknon-penetration conditionwell-posedness analysisimplicit constitutive response

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Theory of constitutive functions in solid mechanics (74A20) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (3)

Constitutive relations for anisotropic porous solids undergoing small strains whose material moduli depend on the density and the pressure ⋮ A generalization of the Kelvin–Voigt model with pressure‐dependent moduli in which both stress and strain appear linearly ⋮ Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly

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