Nonlinear theory of simple micro-elastic solids-i
01 May 1964-International Journal of Engineering Science (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE)-Vol. 2, Iss: 2, pp 189-203
TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.
About: This article is published in International Journal of Engineering Science.The article was published on 1964-05-01. It has received 1309 citations till now. The article focuses on the topics: Constitutive equation & Boundary value problem.
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01 Jan 1992TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Abstract: Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in which matter manifests itself only through its inertia, independent of its constitution; “modern” physics likewise turns its back, since it concerns solely the small particles of matter, declining to face the problem of how a specimen made up of such particles will behave in the typical circumstances in which we meet it. Materials, however, continue to furnish the masses of matter we see and use from day to day: air, water, earth, flesh, wood, stone, steel, concrete, glass, rubber, ... All are deformable. A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys.
2,644 citations
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
1,788 citations
TL;DR: The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations as mentioned in this paper.
Abstract: Modeling of the evolution of distributed damage such as microcracking, void formation, and softening frictional slip necessitates strain-softening constitutive models. The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations. A great variety of nonlocal models have appeared during the last two decades. This paper reviews the progress in the nonlocal models of integral type, and discusses their physical justifications, advantages, and numerical applications.
1,171 citations
TL;DR: A survey of microcontinuum fluid mechanics can be found in this article, where the fundamental mechanics and general constitutive theories governing the behavior of fluid microcontinua are discussed and a brief treatment of statistically based theories are also considered.
685 citations
TL;DR: In this article, a systematic procedure for averaging continuum equations over representative regions of multiphase systems is developed, where Mass and areal averages as well as volume averages are defined to ensure that the averaged quantities are physically meaningful.
639 citations
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TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Abstract: HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Elastic materials with couple-stresses R. Toupin
2,574 citations
2,228 citations
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01 Dec 1962TL;DR: The Mecanique des sols Reference Record was created on 2004-09-07, modified on 2016-08-08 as mentioned in this paper, and is based on the Milieux poreux reference record.
Abstract: Keywords: Milieux poreux ; Mecanique des sols Reference Record created on 2004-09-07, modified on 2016-08-08
582 citations