Convergence Rates of the Method of Successive Elastic Solutions in Thermoplastic Problems of a Layered Concentric Cylinder

by Todd O. Williams, Univ of Virginia, Charlottesville, United States,
Marek-Jerzy Pindera, Univ of Virginia, Charlottesville, United States,

Document Type: Proceeding Paper

Part of: Engineering, Construction, and Operations in Space IV


This paper examines convergence rates of the method of successive elastic solutions, proposed by Mendelson, in determining the thermoplastic response of an arbitrarily layered concentric cylinder under axisymmetric thermal loading. The multiple concentric cylinder model is a recent generalization of the concentric cylinder concept to inelastic problems in composite mechanics. In this paper, the inelastic constituents of the concentric cylinder are assumed to exhibit Prandtl-Reuss behavior. The emphasis herein is placed on studying the rate at which plastic strain increments converge to a steady value as a function of the number of iterations in the presence of axisymmetric thermal loading. The presented results demonstrate the robustness of the method of successive elastic solutions employed within the framework of the multiple concentric cylinder model.

Subject Headings: Convergence (mathematics) | Elastic analysis | Thermoplasticity | Layered systems | Cylinders | Inelasticity | Numerical methods | Thermal analysis

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