This pages is the theory manual of SMART+. Its scope is:
- to demonstrate the formalism in which the tensors are represented in SMART+. Also to explain important aspects for the tensors, like their representation in local and global coordinates,
- to introduce briefly the theoretical framework in which the analyses are based on.
- Tensors conventions: Fourth order tensors in SMART+, Examples of SMART+ formalism
- Tensors rotators
- Elasticity: Isotropic materials, Transversely isotropic materials
- Shape memory alloys
- Return mapping algorithms: Convex cutting plane, Closest point projection
- General micromechanics concepts: Definition of homogenization, Average theorems, Hill’s lemma and Hill-Mandel theorem, Concentration tensors, Eshelby problem
- Mori Tanaka
- Self consistent
- Periodic homogenization: Composite laminates
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