The principle of the minimum of the dissipation potential for non-isothermal processes

作者：Junker Philipp^*; Makowski Jerzy; Hackl Klaus

来源：Continuum Mechanics and Thermodynamics, 2014, 26(3): 259-268.

DOI：10.1007/s00161-013-0299-4

• Principle of the minimum of the dissipation potential
• Non-isothermal process
• Thermal coupling
• Variational modeling method

In this paper, we contribute to the methodology of material modeling by presenting a potential-based approach for non-isothermal inelastic processes. It is based on the principle of the minimum of the dissipation potential which was used previously only in the isothermal context. In contrast to the principle of maximum dissipation, the presented procedure results in mathematically simplified equations. Due to its variational character, the inclusion of constraints is very simple. After derivation of our method, we use the examples of non-isothermal perfect plasticity and shape memory alloys for demonstration of the validity and performance of the concept.

• 出版日期2014-5