Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited

DOI10.1007/BF00041067zbMath0575.73021OpenAlexW2068817652MaRDI QIDQ1064111

P. Podio-Guidugli, Epifanio G. Virga, Giorgio Vergara Caffarelli

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041067

zbMATH Keywords

direct methodsstress fieldtwo space dimensionsthree space dimensionsexplicit lower bounda priori restrictions of a constitutive natureabove the critical valueboundary displacement reaches a critical valueboundary value problem replaced by minimization problemcircumferential stress unboundedcompressible elastic ballenergy minimizers are radial deformationseverywhere smooth radial equilibrium solutions with finite energyexistence of singular equilibrium solutionsfails to induce a homogeneous radial expansionfracture by loss of smoothnesshole at the centerproperties of irregular minimizersradial stress vanishingsurface of the holeuniform radial displacement at the boundary

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

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