Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Elastoplastic damage analysis of shells with algebraic derivation of consistent tangent matrix and pseudo-stress. |
| Συγγραφείς: |
Yamamoto, Takeki1 (AUTHOR) takeki.yamamoto.ph71@vc.ibaraki.ac.jp, Yamada, Takahiro2 (AUTHOR) yamada-takahiro-kg@ynu.ac.jp, Matsui, Kazumi2 (AUTHOR) kzm@ynu.ac.jp |
| Πηγή: |
Computational Mechanics. Sep2026, Vol. 78 Issue 3, p1485-1518. 34p. |
| Θεματικοί όροι: |
*Elastoplasticity, *Damage models, *Numerical analysis, *Residual stresses, *Structural shells, *Newton-Raphson method |
| Περίληψη: |
In this study, an algebraically derived consistent tangent matrix and a pseudo-stress for the local residual are applied to elastoplastic problems with damage for shells. The authors define a coupled problem of the global equation, which denotes the weak form of the equilibrium equation for the overall structure, and the local equation, which represents the constraint condition satisfied at each material point. To solve the coupled boundary value problems, the consistent tangent matrix and the pseudo-stress are constructed algebraically by block Newton method. The proposed scheme does not involve any local iterative calculations and allows us to decrease the residuals of the coupled problem simultaneously, since the pseudo-stress for the local residual is incorporated into the linearized global equation. Some numerical examples using shell elements demonstrate the validity and effectiveness of the proposed approach in complex situations with material and geometrical nonlinearities, including the Lemaitre ductile damage model. [ABSTRACT FROM AUTHOR] |
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