Abstract
SummaryFixed‐grid discretization strategy is proposed for static structural Finite Element Analysis (FEA) of Functionally Graded Materials (FGM). The fixed‐grid strategy reduces numerical integration cost dramatically by generating a single local stiffness matrix for isotropic materials. For FGMs, domain is discretized into the layers in such a way that material properties in each layer are constant. Therefore, for each layer, a single local stiffness matrix will be constructed. These matrices are directly used in the solver phase of the assembly‐free FEM without constructing the global stiffness matrix. The fixed‐grid strategy reduces the global memory transactions on the GPU by storing these elemental matrices in on‐chip shared memory or cached constant memory. Furthermore, the assembly‐free method is adopted to leverage a fine grained parallelism on the GPU at the degree of freedom level. Numerical experiments showed the effectiveness of the discrete layered approach for FGM using the fixed‐grid strategy. For performance evaluation two strategies using global memory and shared memory are compared and found that the use of shared memory can achieve approximately 2.4 times better performance than global memory.
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