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Considerations on the Karush-Kuhn-Tucker multiplier in finite strain, rate-independent elastoplasticity /

by Stracuzzi, Alberto, (Xtrakooz) [aut]; Grillo, Alfio S [ths]; Prohl, S [ths]; Preziosi, Luigi [opn].
Material type: materialTypeLabelBookPublisher: Catania : Scuola Superiore di Catania, 2014Description: 54 p. : ill. ; 25 cm.Subject(s): Ciccioni | Engineering. -- Elastoplasticity
Contents:
1 Introduction. 2 Foundations of Continuum Mechanics. 2.1 Notation. 2.2 Kinematics. 2.3 Objective time derivatives. 2.4 Principle of Virtual Power for First Gradient materials. 2.5 Isotropy. 2.5.1 Symmetry of Mandel tensor. 3 Dissipation. 3.1 Principle of Maximum Dissipation. 3.2 Rate independent plasticity and yeld criterion. 3.3 Principle of Maximum Plastic Dissipation. 4 Analytic determination of the KKT-multiplier. 4.1 KKT multiplier. 4.2 Tensors A and Bp for isotropic hyperelastic materials. 4.3 Materials independent on I2. 5 Conclusions. A Tensorial products. Bibliography.
Dissertation note: Tesi di diploma di 1° livello per la Classe delle Scienze Sperimentali Diploma di 1° livello Scuola Superiore di Catania, Catania, Italy 2014 A.A. 2012/2013 Abstract: The aim of this thesis is to formulate an analytical expression of the lagrangian multiplier associated with the problem of maximizing ther dissipation of a continuum system: under appropriate hypotheses, the validity of the dissipation inequality defines the limits of the possible constitutive relations for a material. In the case of elastoplasticity, this leads to a constrained optimization problem, in which a lagrangian multiplier and the Karush-Kuhn-Ticker conditions are introduced.
List(s) this item appears in: Tesi di Laurea, Diploma, Dottorato, Master
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Location Call number Copy number Status Date due
Sala B : Armadio Tesi THS_2014 531.01 S8949 (Browse shelf) 1 Available
Sala B : Armadio Tesi THS_2014 531.01 S8949 (Browse shelf) 2 Available
Sala B : Armadio Tesi THS_2014 531.01 S8949 (Browse shelf) 3 Available
Sala B : Armadio Tesi THS_2014 531.01 S8949 (Browse shelf) 4 Available

Tesi di diploma di 1° livello per la Classe delle Scienze Sperimentali Diploma di 1° livello Scuola Superiore di Catania, Catania, Italy 2014 A.A. 2012/2013

Includes bibliographical references (50-54 p.) and index.

1 Introduction.
2 Foundations of Continuum Mechanics.
2.1 Notation.
2.2 Kinematics.
2.3 Objective time derivatives.
2.4 Principle of Virtual Power for First Gradient materials.
2.5 Isotropy.
2.5.1 Symmetry of Mandel tensor.
3 Dissipation.
3.1 Principle of Maximum Dissipation.
3.2 Rate independent plasticity and yeld criterion.
3.3 Principle of Maximum Plastic Dissipation.
4 Analytic determination of the KKT-multiplier.
4.1 KKT multiplier.
4.2 Tensors A and Bp for isotropic hyperelastic materials.
4.3 Materials independent on I2.
5 Conclusions.
A Tensorial products.
Bibliography.

The aim of this thesis is to formulate an analytical expression of the lagrangian multiplier associated with the problem of maximizing ther dissipation of a continuum system: under appropriate hypotheses, the validity of the dissipation inequality defines the limits of the possible constitutive relations for a material. In the case of elastoplasticity, this leads to a constrained optimization problem, in which a lagrangian multiplier and the Karush-Kuhn-Ticker conditions are introduced.

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