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Antiplane shear
field for a class of hyperelastic incompressible brittle
material: Analytical and numerical approaches
Claude Stolz and Andres Parrilla Gomez |
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Vol. 10 (2015), No. 3, 395–410
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DOI: 10.2140/jomms.2015.10.395
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Abstract |
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This paper reconsiders the problem of determining the elastostatics fields near the tip of a crack in a body deformed by an antiplane shear for a class of incompressible, homogeneous, isotropic materials. The study is generalized to the formation of a quasicrack under the same conditions of loading for brittle material that cannot support any further loading when a critical strength is reached. The crack is then replaced by a totally damaged zone where the stress is identically zero. The shape of the boundary between the damaged and undamaged body is found analytically. A numerical approach is proposed to address the problem for more general constitutive law. The analytical solution is recovered by a process of shape optimization. |
Keywords
antiplane shear, brittle material, crack-tip fields,
hyperelasticity
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Milestones
Received: 7 March 2014
Revised: 6 February 2015
Accepted: 2 March 2015
Published: 26 August 2015
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Authors |
| Claude Stolz | |
| Génie civil et Mécanique UMR CNRS 6183 1 rue de la Noë 44321 Nantes France |
IMSIA EDF UMR CNRS 9219 1 avenue Charles de Gaulle 92141 Clamart France |
| Andres Parrilla Gomez | |
| Génie civil et Mécanique UMR CNRS 6183 1 rue de la Noë 44321 Nantes France |
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