Results 231 to 240 of about 25,076 (257)

Mathematical homogenization theory for electroactive continuum

International Journal for Numerical Methods in Engineering, 2012
SUMMARYTwo‐scale continuum equations are derived for heterogeneous continua with full nonlinear electromechanical coupling using nonlinear mathematical homogenization theory. The resulting coarse‐scale electromechanical continuum equations are free of coarse‐scale constitutive equations.
Sergey Kuznetsov, Jacob Fish
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Homogenization technique of discrete atoms into smeared continuum

International Journal of Mechanical Sciences, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwon, Y. W., Manthena, C.
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Computational Method for Atomistic-Continuum Homogenization

2002
Abstract : The homogenization method is used as a framework for developing a multiscale system of equations involving atoms at zero temperature at the small scale and continuum mechanics at the very large scale. The Tersoff-Brenner Type II potential (Tersoff J.
Jerry A. Clarke, Brian J. Henz, Charles Cornwell, Raju R. Namburu, Peter W. Chung   +4 more
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A Homogenized Continuum Model for Fiber‐Reinforced Composites and its Applications

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995
AbstractIn response to the need for an advanced computational model for wave propagation in fiber‐reinforced composites, a new finite element is developed. In the model, the deformation in a heterogeneous composite region is described by average displacement fields for both fiber and matrix along with the higher order microstructural displacements. The
Impelluso, Th. J., Murakami, H.
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On the Continuum as an Assemblage of Homogeneous Elements or States

1968
Some of the implications are explored of considering a continuum or a “point” in a material as an assemblage of simple models. A discussion is given of the need for and the distinction between a thermodynamics based upon a highly specialized or restricted model and one which is applicable to a wide class of material behavior.
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Obtaining Cosserat material parameters by homogenization of a Cauchy continuum

PAMM, 2009
AbstractAn increasing importance of composites with sandwich architecture and fibre‐reinforced components is recognizable especially in aerospace and light weight industry. Due to the inner structure such materials often exhibit a complex behavior. If the ratio of micro‐ and macroscopic length scales, l and L, violates the condition l/L ≪ 1, a higher ...
Dominik Branke, J. Brummund, G. Haasemann, V. Ulbricht   +3 more
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Homogenization principles and their application to continuum damage mechanics

Composites Science and Technology, 2001
The concept of homogenization is utilized herein to develop simplified methodologies for predicting the response of solids that develop multi-scale damage. This methodology is cast within a computational framework in order to produce efficient algorithms for a variety of media including granular and layered composites.
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Computational Homogenization Method for Atom-to-Continuum Modeling

AIP Conference Proceedings, 2004
Homogenization theory has been well accepted by the applied mechanics modeling community for its ability to integrate small‐scale microstructure phenomena into bulk continuum equations using convergent features of asymptotics. This paper describes an extension of the method to handle asymptotically small atomic scale systems at zero temperature ...
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The Green’s function for passive scalar diffusion in a homogeneously sheared continuum

Physics of Fluids A: Fluid Dynamics, 1993
The impulsive-source distribution or Green’s function for an unbounded n-dimensional Euclidean space filled by a material medium which undergoes a time-dependent homogeneous deformation and which is characterized by a time-dependent anisotropic diffusion tensor is derived.
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Homogenization procedure for the 2D Cosserat continuum

2013
This work presents a contribution to the development of computational homogenization procedures, in which a Cosserat continuum at the macroscopic level and an elastic heterogeneous Cauchy medium with periodic texture at the microscopic level are coupled.
ADDESSI, Daniela, DE BELLIS, MARIA LAURA, E. Sacco   +2 more
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