Application of local boundary integral equation method into micropolar elasticity |
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| Affiliation: | 1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;2. State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, PR China;3. School of Engineering and Material Sciences, Queen Mary, University of London, London E1 4NS, UK;1. Structural Engineering Department, Federal University of Juiz de Fora, Juiz de Fora, MG, Brazil;2. Institute of Materials and Manufacturing, Brunel University London, Uxbridge UB8 3PH, UK |
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| Abstract: | A new meshless method for solving boundary value problems in micropolar elasticity is presented. The method is based on the local boundary integral equation (LBIE) method with the moving least squares approximation of physical quantities. Randomly scattered nodes are utilized for interpolation of field data. Every node is surrounded by a simple surface centered at the collocation point in the LBIE method. On the surface of subdomains the LBIEs are written. Fundamental solutions corresponding to uncoupled governing equations are derived. To eliminate the traction vector in the LBIE, the modified fundamental solution is introduced. |
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