Combinations of gradient plasticity with scalar damage and of gradient damage with isotropic plasticity are proposed and implemented within a consistently linearized format. Both constitutive models incorporate a Laplacian of a strain measure and an internal length parameter associated with it, whic
Failure analysis of a cracked plate based on endochronic plastic theory coupled with damage
β Scribed by C. L. Chow; X. F. Chen
- Publisher
- Springer Netherlands
- Year
- 1993
- Tongue
- English
- Weight
- 630 KB
- Volume
- 60
- Category
- Article
- ISSN
- 1573-2673
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β¦ Synopsis
An anisotropic model of damage mechanics for ductile fracture incorporating the endochronic theory of plasticity is presented in order to take into account material deterioration during plastic deformation. An alternative form of endochronic (internal time) theory which is actually an elasto-plastic damage theory with isotropicnonlinear kinematic hardening is developed for ease of numerical computation. Based on this new damage model, a finite element algorithm is formulated and then employed to characterize the fracture of thin aluminum plate containing a center crack. A new criterion termed as YR-Criterion is proposed to define both the crack initiation angle and load. Experiments have been conducted to verify the validity of the proposed damage model and it is found that the theoretical crack initiation loads correspond closely with the measured values.
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A microscale vibration analysis of micro-plates is developed based on a modified couple stress theory. The presence of the length scale parameter in this theory enables us to describe the size effect in microstructures. A variational approach based on Hamilton's principle is employed to obtain the g