Read e-book online Topics in Applied Continuum Mechanics: Symposium Vienna, PDF

By A. Phillips (auth.), J. L. Zeman, F. Ziegler (eds.)

ISBN-10: 3211812601

ISBN-13: 9783211812600

ISBN-10: 3709141885

ISBN-13: 9783709141885

THE FOUNDATIONS OF THERMOELASTICITY-EXPERIMENTS AND thought (A. PHILLIPS) 1. creation 2. The preliminary yield floor four three. the next yield floor 6 four. a few theoretical effects 10 References thirteen at the PHYSICS and arithmetic OF SELF-STRESSES (E. KRONER) 1. advent 22 2. The actual beginning of the self-stresses 23 three. formula of the mathematical challenge of self-stresses 27 four. the strategy of changed Green's features 30 five. Concluding comments 35 References 38 DISTORTION IN MICROPOLAR ELASTICITY (W. NOWACKI) 1. basic family and equations 39 2. precept of digital paintings forty two three. Theorem of minimal of the complimentary paintings forty three • four. Reciprocity theorem forty four five. Equations in displacements and rotations forty seven 6. Compatibility equations fifty one References fifty seven THE YIELD CRITERION within the common CASE OF NONHOMOGENEOUS rigidity AND DEFORMATION FIELDS (J. A. KONIG and W. OLSZAK) 1. advent fifty eight 2. The plasticity sixty one three. exact situations of the yield sixty two four. instance: natural bending sixty three five. standards for impartial, passive and lively procedures sixty five VI 6. The stream legislation sixty seven References sixty nine ELECTRO-MAGNETO-ELASTICITY (J. B. ALBLAS) 1. creation seventy one 2. stability equations seventy seven three. The bounce and boundary stipulations eighty five four. The constitutive equations ninety one five. Linearization of the magnetic challenge ninety five 6. Magneto-elastic waves within the countless house and within the half-space one zero five References 114 PLASTICITY AND CREEP idea IN ENGINEERING MECHANICS (J. F • BESSE LING) 1. advent a hundred and fifteen 2. restrict research 117 3.

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Extra resources for Topics in Applied Continuum Mechanics: Symposium Vienna, March 1–2, 1974

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4) contain six unknown components of the state of stress. The compatibility equations should be completed by the equilibrium equations Then the number of equations is equal to the number of the unknowns. Let us consider two particular cases. 7) then the equilibrium equations and Eq. 8) Let us consider some particular cases. e. the Macdonald function. 7). 8) we obtain the following particular integrals:. 11) 54 This case can be interpreted as the action of a temperature nucleus at the origin. Observe that in this case the couple stresses #-113, #-131, #-123' #-132 vanish.

In section 2 a few sources of self-stresses will be considered. e. in those materials which consist of particles of one kind only. We shall think of atoms, but they could be molecules just as well. The materials of this kind correspond to the materially uniform bodies of the mathematical theory of elasticity. 23 Generally speaking, the sources of self-stresses are defects in an other-wise regular structure of which the crystal is the best-understood example. The lattice defects have been the object of scientific research for decades and have been found to be responsible for a huge variety of properties of such bodies to which among others all metals belong.

They, too, will be excluded from the notion of self-stresses employed here although the methods to be discussed will suit well to many problems involving such stresses. In section 2 a few sources of self-stresses will be considered. e. in those materials which consist of particles of one kind only. We shall think of atoms, but they could be molecules just as well. The materials of this kind correspond to the materially uniform bodies of the mathematical theory of elasticity. 23 Generally speaking, the sources of self-stresses are defects in an other-wise regular structure of which the crystal is the best-understood example.

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Topics in Applied Continuum Mechanics: Symposium Vienna, March 1–2, 1974 by A. Phillips (auth.), J. L. Zeman, F. Ziegler (eds.)


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