Effect of void shape on the macroscopic response of non-linear porous solids |
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| Institution: | 1. Department of Civil Engineering, The University of Hong Kong, Hong Kong, China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong, China;1. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;2. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong Special Administrative Region;3. Institute of Mathematics, Hunan University, Changsha 410082, China;1. Basque Center for Applied Mathematics (BCAM), Alameda de Mazarredo 14, 48009 Bilbao, Spain;2. Department of Theoretical Condensed Matter Physics, Universidad Autónoma de Madrid, Madrid, Spain;3. Departamento de Física y Matemáticas, Universidad de Alcalá, 28871 Madrid, Spain;4. IKERBASQUE, Basque Foundation for Science, Calle de María Díaz de Haro 3, 48013 Bilbao, Spain;5. Zienkiewicz Centre for Computational Engineering (ZCCE), Swansea University, Bay Campus, Swansea SA1 8EN, United Kingdom |
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| Abstract: | The macroscopic response of an incompressible power-law matrix containing aligned spheroidal voids is investigated. The voids are assumed to be arranged in a uniform array, and the response of the solid is evaluated by isolating a typical block of the material containing a single void. The requisite boundary value problem for this “unit cell” is solved using a spectral method which is an adaption of that used by Lee and Mear “Axisymmetric Deformation of Power-law Solids containing Elliptical Inhomogeneities. Part I: Rigid Inclusions”, J. Mech. Phys. Solids, (1992) 8, 1805. Attention is restricted to axisymmetric deformation, and results for the macroscopic strain-rates (or strains) are presented for a range of void shape, void volume concentrations, hardening exponents and remote stress triaxilities. |
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