Titlebook: Mechanics in Material Space; with Applications to Reinhold Kienzler,George Herrmann Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 Me

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悠然

Introduction,e placed in the usual Euclidian physical space. Depending on the circumstances and goals of the mathematical modeling of real, observable phenomena, these massive bodies may be idealized as mass particles, rigid extended bodies or deformable materials obeying a variety of constitutive relations. The

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Properties of the Eshelby Tensor,h-independent integrals, such as the . and . integrals. Regarding the tensor itself, we know essentially only, for the time being, that it is not symmetric and that its divergence vanishes if the material is locally homogeneous. In this Section, we will provide a physical interpretation of its Carte

胆小懦夫

Inhomogeneous Elastostatics,new class of materials whose properties change continuously in a particular direction (see, e. g., Moore&Samdani, 1993; Erdogan, 1995 and recent conference proceedings, such as Ilschner&Cherradi, 1995). The terms “functionally gradient materials”, or “functionally graded materials” (FGMs) became com

漂泊

Dissipative Systems,nt integrals) for mechanical systems with dissipation (Honein et al., 1991). One does not have to worry about the establishment of a Lagrangian, but can consider directly the governing set of differential equations. The inherent time-dependence of dissipative systems necessitates the establishment o

COST

Coupled Fields,some other physical manifestations describable mathematically as fields. In particular, we shall consider the coupling of the elastic to the electric field, as it occurs in piezoelectric and dielectric materials and, in a separate Section, the coupling of the elastic to the thermal field. These latt

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Bars, Shafts and Beams,d dynamic) response to various loadings of elastically deformable bodies whose one dimension is considerably larger than the other two. If such a body, considered straight, is subjected to loads along its axis, it is called a bar in tension-compression, if it is subjected to twisting moments, it is

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Plates and Shells,ons of the middle surface. (The middle surface of a plate is plane, that of a shell is curved). In this sense, plate and shell theories are inherently approximative and their quality depends on the validity of the a priori assumptions (cf. Bernoulli’s normal hypothesis in beam theory) introduced. Th

ARIA

Textbook 2000ications to fracture and defect mechanics. This mechanics, in contrast to Newtonian mechanics in physical space, is concerned with defects such as cracks and dislocations, which are embedded in the material and might move in it. The level is kept accessible to any engineer, scientist or graduate stu

Urea508

al continuum theories (fracture and defect mechanics).WritteThe aim of the book is to present, in a novel and unified fashion, the elements of Mechanics in Material Space or Configurational Mechanics, with applications to fracture and defect mechanics. This mechanics, in contrast to Newtonian mechan