An Iterative Approach to Dynamic Elastic-Plastic Analysis

• Published in: Journal of applied mechanics 1998-12, Vol.65 (4), p.811-819
• Main Authors: Giambanco, F, Palizzolo, L, Cirone, L
• Format: Article
• Language: English
• Subjects: Applied sciences; Buildings. Public works; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Physics; Solid mechanics; Strength of materials (elasticity, plasticity, buckling, etc.); Structural analysis. Stresses; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Viscoelasticity, plasticity, viscoplasticity
• ISSN: 0021-8936; 1528-9036
• DOI: 10.1115/1.2791916

The step-by-step analysis of structures constituted by elastic-plastic finite elements, subjected to an assigned loading history, is here considered. The structure may possess dynamic and/or not dynamic degrees-of-freedom. As it is well-known, at each step of analysis the solution of a linear complementarity problem is required. An iterative method devoted to solving the relevant linear complementarity problem is presented. It is based on the recursive solution of a linear complementarity, problem in which the constraint matrix is block-diagonal and deduced from the matrix of the original linear complementarity problem. The convergence of the procedure is also proved. Some particular cases are examined. Several numerical applications conclude the paper.