On determining the relation between the mean stress and deformation tensors in structurally inhomogeneous elastic media
DOI10.1016/0021-8928(80)90127-6zbMath0467.73021OpenAlexW2034030543MaRDI QIDQ1155977
Publication date: 1980
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(80)90127-6
nonlocal termscouple stressquasi-staticmean stressdeformation tensorsrheological equationlinear operator relationsmethod of changing field variables
Inhomogeneity in solid mechanics (74E05) Perturbation theory of linear operators (47A55) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Integral, integro-differential, and pseudodifferential operators (47Gxx)
Cites Work
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- Analysis of the macroscopic coefficients of stochastically inhomogeneous elastic media
- Dynamic deformation of quasi-isotropic composite media
- Approximate reduction of the equations of the theory of elasticity and electrodynamics for inhomogeneous media to the Helmholtz equations
- Singular approximation in ideal plasticity theory of microinhomogeneous media
- Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies
- The relation between mathematical expectations of stress and strain tensors in statistically isotropic homogeneous elastic bodies
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