An advanced 3D boundary element method for characterizations of composite materials |
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| Affiliation: | 1. Mechanical Engineering Program, School of Engineering and Computer Science, Washington State University Vancouver, Vancouver, WA 98686, USA;2. Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH 45221-0072, USA;1. Mechanical Engineering Department. Universidad Politécnica de Madrid, Spain;2. Mechanical Engineering Department, Tokyo Institute of Technology, Japan;1. Laboratory of Geometry and Dynamical Systems, Department of Mathematics–UPC and BGSMath in Barcelona and CEREMADE (Université de Paris-Dauphine)– IMCCE (Observatoire de Paris)– IMJ (Université Paris-Diderot), Observatoire de Paris, 77, avenue Denfert-Rochereau, 75014 Paris, France;2. Laboratory of Geometry and Dynamical Systems, Department of Mathematics–UPC, Barcelona, Spain;1. School of Civil Engineering, Federal University of Goiás, UFG, Av. Universitária, No. 1488, Setor Universitário, 74605-220 Goiás, GO, Brazil;2. Department of Civil Engineering, Pontifical Catholic University, PUC-Rio, Rua Marquês de São Vicente, No. 225, Gávea, 22453-900 Rio de Janeiro, RJ, Brazil |
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| Abstract: | Some recent developments in the modeling of composite materials using the boundary element method (BEM) are presented in this paper. The boundary integral equation for 3D multi-domain elasticity problems is reviewed. Difficulties in dealing with nearly-singular integrals, which arise in the BEM modeling of composite materials with closely packed fillers or of thin films, are discussed. New and improved techniques to deal with the nearly-singular integrals in the 3D elasticity BEM are presented. Numerical examples of layered thin films and composites with randomly distributed particles and fibers are studied. The advantages and limitations of the BEM approach in modeling advanced composites are also discussed. The developed BEM with multi-domain and thin-body capabilities is demonstrated to be a promising tool for simulations and characterization of various composite materials. |
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