A Discontinuous Galerkin Meshfree Modeling of Material Interface

作者：Wang Dongdong^*; Sun Yue; Li Ling

来源：Computer Modeling in Engineering & Sciences, 2009, 45(1): 57-82.

• meshfree method
• discontinuous Galerkin formulation
• composite material
• material interface
• gradient jump

A discontinuous Galerkin meshfree formulation is proposed to solve the potential and elasticity problems of composite material where the material interface has to be appropriately modeled. In the present approach the problem domain is partitioned into patches or sub-domains and each patch holds the same material properties. The discretized meshfree particles within a patch are classified as one particle group. Various patches occupied by different particle groups are then linked using the discontinuous Galerkin formulation where an averaged interface flux or traction is constructed based on the fluxes or tractions computed from the adjacent patches. The gradient jump condition across the material interface is accurately captured by the boundary of the neighboring particle groups. The continuity of the primary field variable and the resulting interface flux or traction across the material interface is enforced weakly in the variational form through the corresponding constraints. There are no additional unknowns like Lagrange multipliers and special interface functions as well in the proposed approach. The effectiveness of the present method is demonstrated by several typical numerical examples.

• 出版日期2009-5
• 单位厦门大学