By P. Haupt (auth.), O. T. Bruhns, E. Stein (eds.)
This quantity comprises contributions offered on the IUTAM Symposium on Micro- and Macrostructural elements of Thermoplasticity. The symposium introduced jointly 87 eminent scientists from thirteen international locations operating within the box of thermoplasticity with the purpose of changing principles and stimulating interplay. nearly all of the lectures coated the most subject of the symposium, with some of a extra normal keynote nature and a memorial lecture dedicated to the paintings of Th. Lehmann.
This quantity starts via providing uncomplicated questions of fabric modelling. difficulties encountered in polycrystalline fabrics also are mentioned and the transition from the micro- to the macroscale is the topic of numerous papers. The exact dealing with of form reminiscence fabrics, part transformation, and harm is emphasised. a number of papers are dedicated to experimental effects and some of the features of numerical remedy. It has turn into transparent that in the past stated difficulties, even though approached from various viewpoints, could frequently be dealt with equally. in addition, the processing of unique instances sensitized for a extra exact therapy in info.
the amount may be of curiosity to researchers within the box of thermoplasticity.
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Additional resources for IUTAM Symposium on Micro- and Macrostructural Aspects of Thermoplasticity: Proceedings of the IUTAM Symposium held in Bochum, Germany, 25–29 August 1997
In the limit a continuous family of equilibrium states occurs. The phenomenological theory of plasticity disregards all dynamic processes taking place between two equilibria. The only result of the dynamics on the micro-level is a history-dependence of the equilibrium quantities. In fact, this characterizes rate independent plasticity, for which the arclength representation is the appropriate formal structure. Looking at the entropy inequality, formulated in terms of the arclength description, and bearing in mind that the time rate of z is homogeneous of degree one in the strain and temperature rate, it appears impossible to prove that the stress and entropy relations are necessary conditions for the validity of the dissipation principle.
A novel feature of this combined model accounting for orthotropic material development is an introduction of orientational and distortional hardenings, the former based on an analytical micromechanical modeling of polycrystal plasticity. Simple shear analysis in this model is first reviewed with an emphasis on the role of constitutive spin. The corotational rate of an internal variable is defined with respect to its own constitutive spin. Two representative variations of axial stresses from compressive (negative) to tensile (positive), or oscillatory compressive for Al and Cu, will be discussed within the proposed viscoplastic hardening model.
The parameters are assumed to be independent of the temprature. 3. Evolution equation for the temprature The evolution equation for the temprature follows from the first law of thermodynamics which has the local form 31 Here denotes the heat capacity, r is the heat production, is a factor which determines that part of the dissipation which is converted into heat. 85 and one. 5. ALTERNATIVE FORMULATION BASED ON ADDITIVE DECOMPOSITION For the following relation holds in general A relation as stated in (22) is of general validity since it does depend only on the form of the function involved.