... homogenization approach, which replaces the discrete truss by an effective continuum description to be treated by finite elements in a macroscale boundary value problem. By defining the local truss architecture through a set of Bravais vectors, we formulate the optimization problem with regards to the spatially...

... to address this question by using a multi-scale asymptotic homogenization approach. In particular, the novelty of our work is that we consider highly rough surfaces, reminiscent of experimental observations, as opposed to gentle roughness that is often treated by using a perturbation approach. We find...

...Ruize Hu; Caglar Oskay This manuscript presents a new nonlocal homogenization model (NHM) for wave dispersion and attenuation in elastic and viscoelastic periodic layered media. Homogenization with multiple spatial scales based on asymptotic expansions of up to eighth order is employed to formulate...

... by revisiting the classical fiber/matrix debonding phenomenon observed in SiC/Ti composites, illustrating its ability to accurately capture the mechanics of progressive interfacial degradation. micromechanics homogenization finite-volume method damage crack growth fiber/matrix debonding where...

... in Sec. 2 . By means of homogenization and Floquet analyses of the relevant equations of elastostatics, we then generate solutions for the macroscopic response, in Sec. 3 , and onset of instabilities, in Secs. 4 5 , for this class of reinforced materials directly in terms of the size and behavior...

... morphological changes affect bone failure. 30 07 2010 24 08 2011 25 01 2012 09 02 2012 09 02 2012 cortical bone microstructure evolution aging homogenization Monte-Carlo Among the aging population are commonly diagnosed pathologies such as osteoporosis, which...

...Pham Chi Vinh; Do Xuan Tung In this paper we have derived homogenized equations in explicit form of the linear elasticity theory in a two-dimensional domain with an interface highly oscillating between two straight lines, by using the homogenization method. First, the homogenized equation...

...Anthony S. Drago; Marek-Jerzy Pindera Elements of the homogenization theory are utilized to develop a new micromechanics approach for unit cells of periodic heterogeneous materials based on locally exact elasticity solutions. The interior inclusion problem is exactly solved by using Fourier series...

... 2007 14 11 2007 15 07 2008 aggregates (materials) boundary-value problems continuum mechanics stochastic processes thermodynamics viscoplasticity homogenization random polycrystals representative volume element (RVE) bounds plasticity The motivation of this study...

...Jayesh R. Jain; Somnath Ghosh This paper develops a microscopic homogenization based continuum damage mechanics (HCDM) model framework for fiber reinforced composites undergoing interfacial debonding. It is an advancement over the 2D HCDM model developed by Raghavan and Ghosh (2005, “A Continuum...

...D. Bigoni; W. J. Drugan Why do experiments detect Cosserat-elastic effects for porous, but not for stiff-particle-reinforced, materials? Does homogenization of a heterogeneous Cauchy-elastic material lead to micropolar (Cosserat) effects, and if so, is this true for every type of heterogeneity? Can...