A Cauchy like problem in plane elasticity

Dang Dinh Ang, Nguyen Dung

Abstract


Let \(\Omega \) be a bounded domain in the plane, representing an elastic body. Let \(\Gamma_0 \) be a portion of the boundary \(\Gamma\) of \(\Omega \), \(\Gamma_0 \) being assumed to be paralled to the \(x\)-axis. It is proposed to determine the stress field in \(\Omega \) from the displacements and surface stresses given on \(\Gamma_0 \). Under the assumption of plane stress, it is shown that \(u_x + u_y\) is a harmonic function. An Airy stress function is introduced, from which the stress field is computed.

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DOI: https://doi.org/10.15625/0866-7136/29/3/5536 Display counter: Abstract : 58 views. PDF : 23 views.

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