Symmetric stiffness matrices for isoparametric finite elements in nonlinear elasticity
Paolo S. Valvo
Abstract:The article illustrates a position-based finite element formulation, which greatly simplifies the statement of nonlinear elasticity problems. The formulation adopts as main unknowns the nodal positions in the current configuration instead of the nodal displacements. As a result, simple analytical expressions are obtained of the secant and tangent stiffness matrices for general isoparametric finite elements. Contrary to most formulations of the literature, the secant stiffness matrices turn out to be symmetric.… Show more
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