Potential Representations of Solutions for Dynamic Bending of Elastic Plates Weakened by Cracks

DOI10.1177/1081286505046479zbMath1142.74023OpenAlexW2038972010MaRDI QIDQ3514616

Christian Constanda, Igor Yu. Chudinovich

Publication date: 21 July 2008

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286505046479

zbMATH Keywords

Sobolev spacesMindlin plate

Mathematics Subject Classification ID

Brittle fracture (74R10) Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

Boundary Integral Equations for Thermoelastic Plates with Cracks ⋮ The traction initial-boundary value problem for bending of thermoelastic plates with cracks ⋮ The displacement initial-boundary value problem in bending of thermoelastic plates weakened by cracks

Cites Work

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• Boundary equations in the problems of the dynamics of piecewise- homogeneous elastic media
• Boundary integral equations in dynamic problems for elastic plates
• Solvability of initial-boundary value problems in bending of plates
• On integral solutions of the equations of thin plates
• Fredholm equations of the first kind in the theory of bending of elastic plates
• Weak solutions of interior boundary-value problems for plates with transverse shear deformation
• The boundary equation method in the third initial boundary value problem of the theory of elasticity. Part 1. Existence theorems

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