Continuum Theory of Inhomogeneities in Simple Bodies A Reprint of Six Memoirs

The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con­ tinuous field of strain does not correspond, glob...

Full description

Bibliographic Details
Main Authors: Noll, W., Toupin, R. A. (Author), Wang, C. C. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1968, 1968
Edition:1st ed. 1968
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 02660nmm a2200313 u 4500
001 EB000677644
003 EBX01000000000000000530726
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783642859922 
100 1 |a Noll, W. 
245 0 0 |a Continuum Theory of Inhomogeneities in Simple Bodies  |h Elektronische Ressource  |b A Reprint of Six Memoirs  |c by W. Noll, R. A. Toupin, C. C. Wang 
250 |a 1st ed. 1968 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1968, 1968 
300 |a VII, 180 p  |b online resource 
505 0 |a Inhomogeneities in Materially Uniform Simple Bodies -- Dislocated and Oriented Media -- A Mathematical Theory of the Mechanical Behavior of Continuous Media -- Materially Uniform Simple Bodies with Inhomogeneities -- On the Geometric Structures of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations -- Universal Solutions for Incompressible Laminated Bodies 
653 |a Classical Mechanics 
653 |a Mathematical Physics 
653 |a Mathematical physics 
653 |a Mechanics 
700 1 |a Toupin, R. A.  |e [author] 
700 1 |a Wang, C. C.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
028 5 0 |a 10.1007/978-3-642-85992-2 
856 4 0 |u https://doi.org/10.1007/978-3-642-85992-2?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 531 
520 |a The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con­ tinuous field of strain does not correspond, globally, to a continuous field of dis­ placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stress-free configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stress-free configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stress-free configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundary-value problems of linear elasticity may be set and solved for the dislocated body