Unified and mixed formulation of the 8-node hexahedral elements by assumed strain method. (English) Zbl 0860.73075
A class of ‘assumed strain’ mixed finite element methods based on the Hu-Washizu variational principle is presented. Special care is taken to avoid hourglass modes and shear locking as well as volumetric locking. A unified framework for the 8-node hexahedral solid and thermal as well as thermomechanical coupling elements with uniform reduced integration and selective numerical integration schemes is developed. The approach is simply implemented by a small change of the standard technique and is applicable to arbitrary nonlinear constitutive laws including isotropic and anisotropic material behaviors.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
Hu-Washizu variational principle; thermomechanical coupling elements; uniform reduced integration; selective numerical integrationReferences:
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