A survey of structural tangent stiffness in fully nonlinear and nonconvex cases including material softening

摘要

This paper surveys the tangent stiffness matrix as the basis for nonlinear structural analysis. Systematic derivation of the family of tangent stiffness matrices and the possible linearization and approximation aspects are discussed. The analysisof the tangent stiffness matrix is extended to nonconvex strain energy functionals, namely to material softening. Moreover it is extended to convex and nonconvex external potential due to deformation-sensitive loading devices.