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Simulating the contact of deformable and possibly thin solids in a robust, accurate, and efficient manner is challenging. Traditionally, the contact of solids is approximately modeled with linearized geometric information near the contacting regions. This approximation is prone to generating underconstrained or overconstrained subproblems that can produce interpenetrating or numerically unstable results, especially when large deformation of solids is also present. To avoid these issues, we propose incremental potential contact (IPC) by

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