Reanalysis of Elasto-Plastic Structural Problems using Sensitivities

Error estimates for elasto-plastic problems

— Under some reasonable smoothness assumpfions on the displacements, we are able to dérive an error estimate of the form ||a — <7h||L2{fl)^ Ch, for the approximation of the stress field a in some problems in elasto-plasticity. Using the same ideas, we als o find a piecewise line ar approximation of Mosolov's problem, for which we still get an 0 (h) error estimate.

Elasto-plastic analysis of reinforced soils using mesh-free method

In this paper the application of the mesh-free method (MFM) for the elasto-plastic analysis of reinforced soils is studied for the first time. The applied mesh-free method is called the radial point interpolation method (RPIM). In MFM, unlike the finite element method (FEM), there is no need of mesh in the traditional sense, and the shape functions are based on nodes. In the present study the r...

Parameter sensitivity of anisotropic elasto-plastic shell

1.Abstract A continuum-based design sensitivity analysis (DSA) applied to the thickness design of the anisotropic elasto-plastic shell structures is developed. Since main interest lies in developing path-following algorithms for solving sensitivity problems of elasto-plasticity, such an incremental or a step-by-step formalism will be employed to implementation into the structural analysis progr...

Longitudinal Motion of an Elasto - Plastic Bar

Uncertainty Propagation in Elasto-Plastic Material

Macroscopically heterogeneous materials, characterised mostly by comparable heterogeneity lengthscale and structural sizes, can no longer be modelled by deterministic approach instead. It is convenient to introduce stochastic approach with uncertain material parameters quantified as random fields and/or random variables. The present contribution is devoted to propagation of these uncertainties ...