Bounds on the trace mapping of LD-fields

Ronen Peretz; Reuven Segev

doi:10.1016/j.camwa.2006.02.027

Bounds on the trace mapping of LD-fields

Ronen Peretz, Reuven Segev

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Bounds on the trace mappings defined on the Sobolev space W₁¹ (Ω) and the space L D (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.

Original language	English
Pages (from-to)	665-684
Number of pages	20
Journal	Computers and Mathematics with Applications
Volume	53
Issue number	3-4
DOIs	https://doi.org/10.1016/j.camwa.2006.02.027
State	Published - 1 Feb 2007

Keywords

Bounds
Continuum mechanics
Sobolev space
Stress concentration
Trace

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2006.02.027

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title = "Bounds on the trace mapping of LD-fields",

abstract = "Bounds on the trace mappings defined on the Sobolev space W11 (Ω) and the space L D (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.",

keywords = "Bounds, Continuum mechanics, Sobolev space, Stress concentration, Trace",

author = "Ronen Peretz and Reuven Segev",

note = "Funding Information: The research leading to this paper was partially supported by the Paul Ivanier Center for Robotics Research and Production Management at Ben-Gurion University.",

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N2 - Bounds on the trace mappings defined on the Sobolev space W11 (Ω) and the space L D (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.

AB - Bounds on the trace mappings defined on the Sobolev space W11 (Ω) and the space L D (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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KW - Continuum mechanics

KW - Sobolev space

KW - Stress concentration

KW - Trace

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ER -

Bounds on the trace mapping of LD-fields

Abstract

Keywords

ASJC Scopus subject areas

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