CALCUL A LA RUPTUR: REGULARISATION DE NORTON-HOFF ET LAGRANGIEN AUGMENTE.

T. Guennouni; P. Le Tallec

CALCUL A LA RUPTUR: REGULARISATION DE NORTON-HOFF ET LAGRANGIEN AUGMENTE.

Translated title of the contribution: Yield Design: Norton-Hoff Regularization and Augmented Lagrangian.

T. Guennouni
, P. Le Tallec

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

Abstract

This paper describes a kinematic method for yield design which leads to a convenient numerical treatment of three-dimensional bodies and nondifferentiable yield criteria. The kinematic problem is first regularized through the introduction of the Norton-Hoff viscoplastic fluid associated with the yield criterion, then numerically solved by augmented Lagrangian techniques. Convergence results are derived, and numerical examples are presented, including limit load computations of two-dimensional structures made of truncated Coulomb material or of Camclay, and the computation of the bearing capacity of a square foundation over a purely coherent soil.

Translated title of the contribution	Yield Design: Norton-Hoff Regularization and Augmented Lagrangian.
Original language	French
Pages (from-to)	75-99
Number of pages	25
Journal	Journal de mecanique theorique et appliquee
Volume	2
Issue number	1
Publication status	Published - 1 Jan 1983

Cite this

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title = "CALCUL A LA RUPTUR: REGULARISATION DE NORTON-HOFF ET LAGRANGIEN AUGMENTE.",

abstract = "This paper describes a kinematic method for yield design which leads to a convenient numerical treatment of three-dimensional bodies and nondifferentiable yield criteria. The kinematic problem is first regularized through the introduction of the Norton-Hoff viscoplastic fluid associated with the yield criterion, then numerically solved by augmented Lagrangian techniques. Convergence results are derived, and numerical examples are presented, including limit load computations of two-dimensional structures made of truncated Coulomb material or of Camclay, and the computation of the bearing capacity of a square foundation over a purely coherent soil.",

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N2 - This paper describes a kinematic method for yield design which leads to a convenient numerical treatment of three-dimensional bodies and nondifferentiable yield criteria. The kinematic problem is first regularized through the introduction of the Norton-Hoff viscoplastic fluid associated with the yield criterion, then numerically solved by augmented Lagrangian techniques. Convergence results are derived, and numerical examples are presented, including limit load computations of two-dimensional structures made of truncated Coulomb material or of Camclay, and the computation of the bearing capacity of a square foundation over a purely coherent soil.

AB - This paper describes a kinematic method for yield design which leads to a convenient numerical treatment of three-dimensional bodies and nondifferentiable yield criteria. The kinematic problem is first regularized through the introduction of the Norton-Hoff viscoplastic fluid associated with the yield criterion, then numerically solved by augmented Lagrangian techniques. Convergence results are derived, and numerical examples are presented, including limit load computations of two-dimensional structures made of truncated Coulomb material or of Camclay, and the computation of the bearing capacity of a square foundation over a purely coherent soil.

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CALCUL A LA RUPTUR: REGULARISATION DE NORTON-HOFF ET LAGRANGIEN AUGMENTE.

Abstract

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