ELASTIC-PLASTIC RESPONSE OF A SLAB TO A HEAT PULSE
Abstract
The objective of the present study is to establish thermodynamically valid, non-isothermal stress strain relations for the elastic-plastic range, and to obtain solutions of typical one-dimensional problems involving unsteady temperatures. In the entropy balance equation and the expression for production of internal entropy are consider the limitations imposed by the second law of thermo dynamics upon plastic flow rules are investigated, and subsequently a set of non-isothermal plastic stress strain relations is introduced. It is then shown that these relations are in accord with thermodynamic irreversibility whenever the yield criteria of Tresca and von Mises are used. More over, it is found that the stress strain relations of von Mises are a special case of the non-isothermal stress relations proposed here. An additional problem concerns the specification of elastic tic unloading from a plastic state, and in the presence of a temperature dependent yield stress. Precise criteria for elastic loading and repeated plastic flow are presented. Part II of the report is concerned with an application of the general theory to a problem for the infinite half-space constrained against lateral motion, and subjected to a heat pulse uniformly applied over its boundary. In the analysis of this problem the yield criterion of Tresca is used; the transient and steady state solutions for both strain-hardening and perfectly plastic media, having either a constant or a temperature dependent yield stress, are presented. The appearance of elastic and plastic regions of loading and unloading is studied in some detail.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1963
- Accession Number
- AD0405691
Entities
People
- Walter Jaunzemis
- Yip-chie Lee
Organizations
- Pennsylvania State University