Multipole BEM for 3-D Elasto-Plastic Contact with Friction

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The analysis of 3-D elasto-plastic contact with friction is a highly nonlinear problem. The ele- ments in the contact and plastic zones should be refined to obtain accurate information about the real size, displacement, and traction in the contact zone. However, the increase in the number of degrees of freedom is limited when traditional boundary element method (BEM) is used with the larger memory size and long CPU time required for the solution procedure. This paper describes the additional mathematical friction model to the 3-D elastic multipole BEM to develop a 3-D elasto-plastic contact multipole BEM. Numerical tests show that with this new method, the needed computer memory size is only 2% of the traditional BEM model with friction, which erases large-scale computing with refined meshes and improves the computa- tional accuracy. The analysis of 3-D elasto-plastic contact with friction is a highly nonlinear problem. The ele-ments in the contact and plastic zones should be refined to obtain accurate information about the real size, displacement, and traction in the contact zone. , the increase in the number of degrees of freedom is limited when the traditional boundary element method (BEM) is used with the larger memory size and long CPU time required for the solution procedure. This paper describes the additional mathematical friction model to the 3-D elastic multipole BEM to develop a 3-D elasto-plastic contact multipole BEM. Numerical tests show that with this new method, the necessary computer memory size is only 2% of the traditional BEM model with friction, which erases large-scale computing with refined meshes and improves the computa- tional accuracy.
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