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Mechanics of Material Forces

:	Paul Steinmann, Gérard A. Maugin
:	Paul Steinmann, Gérard A. Maugin
:	Mechanics of Material Forces
:	Springer-Verlag
:	9780387262611
:	1
:	CHF 85.40
:

:	Maschinenbau, Fertigungstechnik
:	English

:	338
:	Wasserzeichen
:	PC/MAC/eReader/Tablet
:	PDF

The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural defects or of the loss of cohesion by the appearance of damage or the exten sion of cracks), plasticity, material growth in the bulk or at the surface by accretion, wear, and the production of debris - should enter a com mon framework where, by pure logic, the material manifold has to play a prominent role. Finding the mathematical formulation for this was one of the great achievements of J. D. Eshelby. He was led to consider the apparent but true motion or displacement of embedded material inhomogeneities, and thus he began to investigate the 'driving force' causing this motion or displacement, something any good mechanician would naturally introduce through the duahty inherent in mechanics since J. L. d'Alembert.

	Contents	5
	Preface	9
	Contributing Authors	12
	I 4D FORMALISM	15
	Chapter 1 ON ESTABLISHING BALANCE AND CON-SERVATION LAWS IN ELASTODYNAMICS	16
	Chapter 2 FROM MATHEMATICAL PHYSICS TO ENGINEERING SCIENCE	26
	II EVOLVING INTERFACES	36
	Chapter 3 THE UNIFYING NATURE OF THE CONFIGURATIONAL FORCE BALANCE	37
	Chapter 4 GENERALIZED STEFAN MODELS	45
	Chapter 5 EXPLICIT KINETIC RELATION FROM	45
	Chapter 5 EXPLICIT KINETIC RELATION FROM	45
	54	45
	III GROWTH	45
	62	45
	Chapter 6 SURFACE AND BULK GROWTH UNIFIED	63
	Chapter 7 MECHANICAL AND THERMODYNAMICAL MODELLING OF TISSUE GROWTH USING DOMAIN DERIVATION TECHNIQUES	75
	Chapter 8 MATERIAL FORCES IN THE CONTEXT OF BIOTISSUE REMODELLING	86
	IV NUMERICAL ASPECTS	94
	Chapter 9 ERROR- CONTROLLED ADAPTIVE FINITE ELEMENT METHODS IN NONLINEAR ELASTIC FRACTURE MECHANICS	95
	Chapter 10 MATERIAL FORCE METHOD. CONTINUUM DAMAGE	95
	103	95
	Chapter 11 DISCRETE MATERIAL FORCES IN THE FINITE ELEMENT METHOD	113
	Chapter 12 COMPUTATIONAL SPATIAL AND MATERIAL SETTINGS OF CONTINUUM MECHANICS. AN ARBITRARY LAGRAN-GIAN EULERIAN FORMULATION	123
	V DISLOCATIONS	123
	134	123
	Chapter 13 SELF- DRIVEN CONTINUOUS DISLOCATIONS AND GROWTH	135
	Chapter 14 ROLE OF THE NON- RIEMANNIAN PLAS-TIC CONNECTION IN FINITE ELASTO-PLASTICITY WITH CONTINUOUS DIS-TRIBUTION OF DISLOCATIONS	146
	Chapter 15 PEACH- KOEHLER FORCES WITHIN THE THEORY OF NONLOCAL ELASTICITY	154
	VI MULTIPHYSICS	154
	164	154
	Chapter 16 ON THE MATERIAL ENERGY-MOMENTUM TENSOR IN ELECTROSTATICS AND MAGNETOSTATICS	165
	Chapter 17 CONTINUUM THERMODYNAMIC AND VARIATIONAL MODELS FOR CONTINUA WITH MICROSTRUCTURE AND MATERIAL INHOMOGENEITY	176
	Chapter 18 A CRYSTAL STRUCTURE-BASED EIGENTRANSFORMATION AND ITS WORK-CONJUGATE MATERIAL STRESS	184
	VII FRACTURE	184
	193	184
	Chapter 19 TEACHING FRACTURE MECHANICS WITHIN THE THEORY OF STRENGTH- OF- MATERIALS	194
	Chapter 20 CONFIGURATIONAL THERMOMECH-ANICS AND CRACK DRIVING FORCES	204
	Chapter 21 STRUCTURAL OPTIMIZATION BY MATERIAL FORCES	212
	Chapter 22 ON STRUCTURAL OPTIMISATION AND CONFIGURATIONAL MECHANICS	220
	VIII PATH INTEGRALS	230
	Chapter 23 CONFIGURATIONAL FORCES AND THE PROPAGATION OF A CIRCULAR CRACK IN AN ELASTIC BODY	231
	Chapter 24 THERMOPLASTIC M INTEGRAL AND PATH DOMAIN DEPENDENCE	240
	IX DELAMINATION	240
	249	240
	Chapter 25 PEELING TAPES	250
	Chapter 26 STABILITY AND BIFURCATION WITH MOVING DISCONTINUITIES	258
	Chapter 27 ON FRACTURE MODELLING BASED ON INVERSE STRONG DISCONTINUITIES	266
	INTERFACES	266
	275	266
	Chapter 28 MAXWELL'S RELATION FOR ISOTROPIC BODIES	276
	Chapter 29 DRIVING FORCE IN SIMULATION OF PHASE TRANSITION FRONT PROPAGATION	284
	Chapter 30 MODELING OF THE THERMAL TREAT-MENT OF STEEL WITH PHASE CHANGES	293
	PLASTICITY	293
	303	293
	Chapter 31 CONFIGURATIONAL STRESS TENSOR IN ANISOTROPIC DUCTILE CONTINUUM DAMAGE MECHANICS	304
	Chapter 32 SOME CLASS OF SG CONTINUUM MOD ELS TO CONNECT VARIOUS LENGTH SCALES IN PLASTIC DEFORMATION	312