6533b872fe1ef96bd12d37d3
RESEARCH PRODUCT
Elastic plastic analysis iterative solution
Luigi PalizzoloFrancesco GiambancoLivia Cironesubject
Applied MathematicsMechanical EngineeringNumerical analysisComputational MechanicsOcean EngineeringComplementarity (physics)Linear complementarity problemFinite element methodElastic plasticComputational MathematicsComputational Theory and MathematicsComputational Science and EngineeringApplied mathematicsAlgorithmMathematicsdescription
The step-by-step analysis of finite element elastic plastic structures subjected to an assigned (quasi-static) loading history, is considered; it identifies with the well-known sequence of linear complementarity problems. An iterative technique devoted to solve the relevant linear complementarity problem is presented. It is based on the recursive solution of a suitable linear complementarity problem, deduced from the relevant one and easier than it. The procedure convergency is proved. Some noticing particular cases are examined. The physical meaning of the procedure is shown to be a plastic relaxation. The suitable numerical ranges for some check parameter values, to be utilized in the application stage, is provided.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-03-20 | Computational Mechanics |