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Bounds on the trace mapping of LD-fields

Abstract : Bounds on the trace mappings defined on the Sobolev space View the MathML sourceW^{1,1}(Ω) and the space LD(Ω) of integrable strains are obtained. In the mechanics of continuous media, such bounds correspond to stress concentration--the ratio between the maximal stress in a body and the maximum of the traction applied to its boundary. The analysis leading to the bounds may be described in the mechanical context of stress theory and stress concentration.
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Submitted on : Friday, March 7, 2014 - 4:19:41 PM
Last modification on : Tuesday, June 1, 2021 - 9:50:04 PM
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  • HAL Id : hal-00956926, version 1


Ronen Peretz, Reuven Segev. Bounds on the trace mapping of LD-fields. Computers & Mathematics with Applications, Elsevier, 2007, 53 (3-4), pp.665-684. ⟨hal-00956926⟩



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