The Fast Multipole Method coupled with the Symmetric Galerkin BEM is employed in this work to simulate fatigue crack growth. The resulted crack propagation code is accelerated with a fast matrix update, a parallel implementation and a sparse matrix format. By using multiple nodes, this code accommodates also multiple surface-breaking cracks. The numerical tests presented herein allow the propagation of multiple cracks in single or multilayer domains.
This paper presents some optimizations of a fast multipole symmetric Galerkin boundary element method code. Except general optimizations, the code is specially sped up for crack propagation problems. Existing useful computational results are saved and re-used during the propagation. Some time-consuming phases of the code are accelerated by a shared memory parallelization. A new sparse matrix method is designed based on coordinate format and compressed sparse row format to limit the memory required during the matrix construction phase. The remarkable performance of the new code is shown through many simulations including large-scale problems.
This work presents the simulation of 3D crack propagation in samples in order to determine fatigue life. The modellings have been achieved by using MBEMv3.0: a fast software based on the Symmetric Galerkin Boundary Element Method (SGBEM) accelerated with the Fast Multipole Method (FMM) in 3D elasticity. Fatigue crack propagation has been simulated with Paris law. We present the simulations of a tensile/compression fatigue test on cylindrical samples of a semi-coarse asphalt concrete considered as homogeneous, containing very small cracks. When the number of cycles increases, the cracks propagate, and we can observe a loss of rigidity of the sample. Parametric studies of the modelling parameters have been performed where the damage evolutions exhibit a typical shape that proves that, for asphalt concrete materials subjected to T/C fatigue test, the shape of the fatigue test curve is mainly governed by biasing effects at the beginning then by mechanical damage at the end.
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