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On the consistency conditions for force systems

Abstract : In analogy with the classical Cauchy conditions, this work presents conditions so that a force system, the assignment of a force to each subbody of a given body, can be represented by a stress. The setting in which the theory is formulated is more general than that of classical continuum mechanics as stresses can be as irregular as measures, equilibrium is not assumed, it applies to continuum mechanics of order higher than one and it may be extended to the case where the body and space are modelled by general differentiable manifolds. The consistency conditions presented are that of additivity of the force system on pairs of disjoint subbodies, continuity and boundedness.
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  • HAL Id : hal-01064940, version 1

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Reuven Segev, Gal de Botton. On the consistency conditions for force systems. International Journal of Non-Linear Mechanics, Elsevier, 1991, 26 (1), pp.47-59. ⟨hal-01064940⟩

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