Topic
Representative elementary volume
About: Representative elementary volume is a research topic. Over the lifetime, 4105 publications have been published within this topic receiving 86863 citations.
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TL;DR: In this paper, a new automatic searching and coupling (ASC) technique is proposed to generate the 3D representative volume element (RVE) to analyze the random fiber composite (RaFC) with a wide range of fiber aspect ratios (FAR), particularly the RaFC with a high FAR.
49 citations
TL;DR: In this paper, a sub-stepping procedure is proposed to save overall computing time in the finite element solution of non-linear solid mechanics problems where homogenization-based multi-scale constitutive models are used to describe the material response.
48 citations
TL;DR: In this paper, the authors developed non-Schmid crystal plasticity constitutive models at two length scales, and bridges them in a multi-scale framework, which includes two sub-grain and homogenized grain scales.
48 citations
TL;DR: In this article, the effects of the temperature rise, beam geometry parameter, and the volume fraction of the piezoelectric fibers on the linear and nonlinear fundamental natural frequencies of the PDF reinforced composites are investigated through a comprehensive parametric study.
Abstract: Large static deflection, mechanical and thermal buckling, postbuckling and nonlinear free vibration of laminated composite beams with surface bonded piezoelectric fiber reinforced composite (PFRC) layers under a combined mechanical, thermal and electrical loading are studied in this paper. The temperature rise is considered to be one-dimensional steady state heat conduction in the thickness direction. The governing equations of the piezoelectric fiber reinforced laminated composite beams are derived based on Euler–Bernoulli beam theory and geometric nonlinearity of von Karman. Rectangular representative volume element (RVE) with rectangular fibers has been considered for piezoelectric fiber reinforced composite. Analytical solution of nonlinear bending and postbuckling analyses has been carried out. A perturbation method is then employed to determine the nonlinear vibration behavior and the nonlinear natural frequencies of the beams with simply supported and clamped boundary conditions. Post-buckling load–deflection and maximum transverse load–deflection relations have been obtained for the beam under consideration. The effects of the temperature rise, beam geometry parameter, and the volume fraction of the piezoelectric fibers on the linear and nonlinear fundamental natural frequencies of the piezoelectric fiber reinforced composites are investigated through a comprehensive parametric study.
48 citations
TL;DR: In this paper, the effect of grain sizes, shapes, and distribution on the minimum RVE sizes for real cubic polycrystals that are formed by crystallization processes was taken into account.
48 citations