engleski

Solid finite element with one integration point for volumetric stress - strain relation

In the original microplane model formulation there is the same number of Gauss points for volumetric, deviatoric and shear microplane stress-strain components; accordingly the number of volumetric strain components coincide with the number of Gauss points of the finite element. As a result the same element exhibits different state of volumetric stress for even slightly distorted elements. It is preferable to enforce the volumetric stress-strain relationships in only one point for the whole finite element. The idea has been implemented through B-bar approach introducing the volumetric constraint in the formulation of the finite element that is used together with the microplane constitutive law. The resulting formulation shows better numerical stability for examples in which the volumetric strain or stress is used as a parameter that controls material damage in the microplane model and no noticable disturbances for the other examples.

Microplane model; finite elements; solids

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