2015/02/02 by Peter Hansbo, Hansbo, Peter, Mats G. Larson +1
Engineering · #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling #FOS: Mathematics #Mechanical stress and fatigue analysis #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1502.00441
openalex publication_date 2015/02/02 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
Second order buckling theory involves a one-way coupled coupled problem where\nthe stress tensor from a plane stress problem appears in an eigenvalue problem\nfor the fourth order Kirchhoff plate. In this paper we present an a posteriori\nerror estimate for the critical buckling load and mode corresponding to the\nsmallest eigenvalue and associated eigenvector. A particular feature of the\nanalysis is that we take the effect of approximate computation of the stress\ntensor and also provide an error indicator for the plane stress problem. The\nKirchhoff plate is discretized using a continuous/discontinuous finite element\nmethod which uses standard continuous piecewise polynomial finite element\nspaces which can also be used to solve the plane stress problem.\n