A mechanical model for dissolution-precipitation creep based on the minimum principle of the dissipation potential

作者：Klinge S^*; Hackl K; Renner J

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2015, 471(2180): 20140994.

DOI：10.1098/rspa.2014.0994

• dissolution-precipitation creep
• variational principles
• finite-element method
• inelastic processes

In contrast to previous approaches that consider dissolution-precipitation creep as a multi-stage process and only simulate its governing subprocess, the present model treats this phenomenon as a single continuous process. The applied strategy uses the minimum principle of the dissipation potential according to which a Lagrangian consisting of elastic power and dissipation is minimized. Here, the elastic part has a standard form while the assumption for dissipation stipulates the driving forces to be proportional to two kinds of velocities: the material-transport velocity and the boundary-motion velocity. A Lagrange term is included to impose mass conservation. Two ways of solution are proposed. The strong form of the problem is solved analytically for a simple case. The weak form of the problem is used for a finite-element implementation and for simulating more complex cases.

• 出版日期2015-8-8