|About this Abstract
||2018 TMS Annual Meeting & Exhibition
||Algorithm Development in Materials Science and Engineering
||Three Dimensional Trefftz Voronoi Cell Finite Elements with Cylindrical Elastic/Rigid Inclusions &/or Voids for Micromechanical Modeling of Heterogeneous Materials
||Guannan Wang, Leiting Dong, Satya N Atluri
|On-Site Speaker (Planned)
Three-dimensional Trefftz Voronoi Cell Finite Elements are extended for the micromechanical modeling of heterogeneous materials with embedded elastic/rigid cylindrical inclusions or voids. The present model differs from the previous VCFEMs in the sense that a compatible displacement field is firstly assumed in Barycentric coordinates as nodal displacements, the trial displacement fields of both matrix and inclusion within the element are then developed using Papkovich-Neuber solutions, following the Trefftz method’s framework, which automatically satisfy the Navier’s equations and compatibilities. Cylindrical harmonics are then developed to represent the Papkovich-Neuber potential. A characteristic length is introduced to rescale the ill-conditioned functions in the cylindrical harmonics. Collocation technique is employed to apply the continuity conditions and node-element displacement relationship, and a primal variational principle is derived to establish the element stiffness matrix. Finally, several numerical examples are then illustrated to prove the accuracy of the present model.
||Planned: Supplemental Proceedings volume