Computational electro-elasticity and magneto-elasticity for quasi-incompressible media immersed in free space

作者：Pelteret Jean Paul; Davydov Denis; McBride Andrew; Duc Khoi Vu; Steinmann Paul

来源：International Journal for Numerical Methods in Engineering, 2016, 108(11): 1307-1342.

DOI：10.1002/nme.5254

• nonlinear electro-elasticity/magneto-elasticity
• quasi-incompressible media
• free space
• finite strain

In this work, a mixed variational formulation to simulate quasi-incompressible electro-active or magneto-active polymers immersed in the surrounding free space is presented. A novel domain decomposition is used to disconnect the primary coupled problem and the arbitrary free-space mesh update problem. Exploiting this decomposition, we describe a block-iterative approach to solving the linearised multiphysics problem, and a physically and geometrically based, three-parameter method to update the free space mesh. Several application-driven example problems are implemented to demonstrate the robustness of the mixed formulation for both electro-elastic and magneto-elastic problems involving both finite deformations and quasi-incompressible media.

• 出版日期2016-12-14