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Keywords: homogenization
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. June 2022, 89(6): 061006.
Paper No: JAM-22-1040
Published Online: April 8, 2022
... 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. April 2022, 89(4): 041004.
Paper No: JAM-21-1417
Published Online: December 21, 2021
... 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...
Journal Articles
Article Type: Research-Article
J. Appl. Mech. March 2017, 84(3): 031003.
Paper No: JAM-16-1503
Published Online: January 12, 2017
...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...
Journal Articles
Article Type: Research-Article
J. Appl. Mech. October 2014, 81(10): 101005.
Paper No: JAM-14-1141
Published Online: August 13, 2014
... of localization relations in the average composite stress definition, in conjunction with the volume-averaged stress-strain relations for each subvolume, yields the homogenized or macroscopic constitutive equation for a multiphase composite in the presence of evolving interfacial damage (29) σ ¯ = 1...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2012, 79(3): 031023.
Published Online: April 5, 2012
... by the underlying local deformation gradient 7 . Because the underlying microstructure is piecewise homogeneous, note further that continuity of the incremental deformation u and traction Σ n ⊥ requires that 24 〚 u ( x 1 + L ( 1 ) , x 2 ) 〛 = 0...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2012, 79(2): 021001.
Published Online: February 9, 2012
... measurements in the “healthy” reference bone [( 22 )] and are described by respective constitutive laws. Haversian canals are considered as voids. The interstitial bone is assumed homogeneous with properties equal to the homogenized bone properties of the heterogeneous tissue produced by the remodeling process...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2011, 78(4): 041014.
Published Online: April 14, 2011
...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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2008, 75(5): 051010.
Published Online: July 17, 2008
...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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2008, 75(5): 051008.
Published Online: July 15, 2008
.... homogenization random polycrystals representative volume element (RVE) bounds plasticity The motivation of this study is to determine the size of the representative volume element (RVE) and obtain rigorous bounds on the inelastic response of polycrystalline aggregates. In most of the existing...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031011.
Published Online: April 8, 2008
...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...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2007, 74(4): 741–753.
Published Online: April 20, 2006
...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...