journal article·2008-04

A multi-scale computational strategy for structured thin sheets

E. W. C. Coenen, V. G. Kouznetsova, M. G. D. Geers

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Abstract

Engineering trends show an increasing use of multi-layered and structured thin sheets in innovativeapplications where the layer thickness approaches the microstructural scale. This paper presents a strategyto homogenize the actual three-dimensional heterogeneous sheet towards a shell continuum. Consistent scaletransition relations are derived, providing the ability to solve the (generalized) stress-strain fields on both themicrostructural and the engineering scale are obtained in a direct and coupled manner.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Nonlocal and gradient elasticity in micro/nano structures

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References (3)

Show source-provided references
1. T. Belytschko, W.K. Liu, and B. Moran. Nonlinear Finite Elements for Continua and Structures. O J. Wiley & Sons, New York, 2000.
2. M.G.D. Geers, E.W.C. Coenen, and V.G. Kouznetsova. Multi-scale computational homogenization of structured thin sheets. Model. Simul. Mater. Sci. Engng., 15:S393–S404, 2007.10.1088/0965-0393/15/4/S06 ↗
3. V.G. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans. Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy. Comput. Methods. Appl. Mech. Engrg., 193(48–51):5525–5550, 2004.10.1016/j.cma.2003.12.073 ↗