Asymptotic Analysis of Periodic Structures
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This article is published in Journal of Applied Mechanics.The article was published on 1979-06-01 and is currently open access. It has received 5038 citations till now. The article focuses on the topics: Asymptotic analysis.read more
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Composite Material Behavior Using a Homogenization Double Scale Method
TL;DR: In this article, a two-scale numerical method was proposed to simulate composite materials in the context of homogenization theory and assumes the periodicity of the internal structure of the material.
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Theory and methods for rare events
TL;DR: In this article, the authors present a set of methods and algorithms to compute all relevant quantities of the transition path theory: free energy, rate, and mechanism of the event, and provide examples to illustrate the applicability of the methods to problems in chemistry, biophysics and material science.
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Calculation of the characteristics of thin elastic rods with a periodic structure
TL;DR: In this article, a transfer from the three-dimensional theory of elasticity in a thin rod to the problem of the theory of beams is made, which differs from the problems of plates discussed in /1, 2/ in that the dimensions are reduced, during the passage to the limit, by two.
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On Wavelet-Based Numerical Homogenization
Alina Chertock,Doron Levy +1 more
TL;DR: This work shows how to improve the efficiency of this numerical homogenization method by choosing a different compact representation of the homogenized operator, and suggests an approach for obtaining a sparse representation that is significantly simpler than the alternative sparse representations.
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Numerical homogenization study on the effects of columnar jointed structure on the mechanical properties of rock mass
TL;DR: In this paper, a homogenization-based modeling method is proposed to study the effects of columnar jointed structure on the mechanical properties of rock masses, and the results show that the elastic parameters of columns are closely dependent on the characteristics of the columnar joints: joint density, thickness, coefficient of variation and infilled material property.
References
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An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
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Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.