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【资源】An Introduction to Computational Micromechanics
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An Introduction to Computational Micromechanics Lecture Notes in Applied and Computational Mechanics Volume 20 Series Editors Prof. Dr.-Ing. Friedrich Pfeiffer Prof. Dr.-Ing. Peter Wriggers An Introduction to Computational Micromechanics Corrected Second Printing Tarek I. Zohdi • Peter Wriggers A key to the success of many modern structural components is the tailored behavior of the material. A relatively inexpensive way to obtain macroscopically desired re- sponses is to enhance a base material’s properties by the addition of microscopic matter, i.e. to manipulate the microstructure. Accordingly, in many modern engi- neering designs, materials with highly complex microstructures are now in use. The macroscopic characteristics of modified base materials are the aggregate response of an assemblage of different “pure” components, for example several particles or fibers suspended in a binding matrix material (Fig. 1.1). Thus, microscale inhomo- geneities are encountered in metal matrix composites, concrete, etc. In the construc- tion of such materials, the basic philosophy is to select material combinations to produce desired aggregate responses. For example, in structural engineering appli- cations, the classical choice is a harder particulate phase that serves as a stiffening agent for a ductile, easy to form, base matrix material. If one were to attempt to perform a direct numerical simulation, for example of the mechanical response of a macroscopic engineering structure composed of a microheterogeneous material, incorporating all of the microscale details, an ex- tremely fine spatial discretization mesh, for example that of a finite element mesh, would be needed to capture the effects of the microscale heterogeneities. The re- sulting system of equations would contain literally billions of numerical unknowns. Such problems are beyond the capacity of computing machines for the foreseeable future. Furthermore, the exact subsurface geometry is virtually impossible to ascer- tain throughout the structure. In addition, even if one could solve such a system, the amount of information to process would be of such complexity that it would be difficult to extract any useful information on the desired macroscopic behavior. It is important to realize that solutions to partial differential equations, of even lin- ear material models, at infinitesimal strains, describing the response of small bodies containing a few heterogeneities are still open problems. In short, complete solu- tions are virtually impossible.>>>>>>>>>>>>> http://d.namipan.com/d/be80c5fdb ... 5d292558d7b7f733e00 http://d.namipan.com/d/be80c5fdb ... 5d292558d7b7f733e00 http://d.namipan.com/d/be80c5fdba0411d08cbcdff34d2275d292558d7b7f733e00 |
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