Uniform elastic field within a parabolic inhomogeneity obeying Neuber’s nonlinear stress-strain law under generalized plane strain deformations
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Bibliographic record
Abstract
We use complex variable methods to derive a closed-form solution to the generalized plane strain problem of an incompressible nonlinear elastic parabolic inhomogeneity obeying Neuber’s special nonlinear stress-strain law embedded in an infinite linear isotropic elastic matrix subjected to uniform remote in-plane and anti-plane stresses. We prove that the internal in-plane and anti-plane stresses and strains within the parabolic inhomogeneity remain uniform. The uniform effective strain within the parabolic inhomogeneity is obtained in closed-form. Consequently, the uniform elastic field within the parabolic inhomogeneity and the non-uniform elastic field in the matrix are completely determined.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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