Methods to project plasticity models onto the contact surface applied to soil structure interactions

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OriginalspracheEnglisch
Seiten (von - bis)187-198
Seitenumfang12
FachzeitschriftComputers and geotechnics
Jahrgang65
PublikationsstatusVeröffentlicht - 9 Jan. 2015

Abstract

In this work two new concepts for a direct application of plasticity models within a frictional contact description are developed. These concepts can be used in conjunction with all different kinds of contact formulations and solution methods. Additionally, all types of plasticity models can be projected onto the contact surface. The advantage of these concepts is shown exemplary in the modeling process of soil-structure interactions where the projected plasticity models are able to describe the soil behavior at the contact surface. The numerical implementation of the new frictional relations is based on the Mortar method. A new type of mixed formulation is also introduced combining the augmented Lagrangian method to enforce the normal contact constraint with the penalty regularization written in Hellinger-Reissner form to implement the tangential contact behavior. This reformulation leads to a reduction of the CPU time compared to the standard penalty regularization, if the Mortar method is used. Finally, the numerical investigation of a direct shear test shows the accurate reproduction of the typical stress-strain relation of the soil at the contact surface.

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Methods to project plasticity models onto the contact surface applied to soil structure interactions. / Weißenfels, C.; Wriggers, P.
in: Computers and geotechnics, Jahrgang 65, 09.01.2015, S. 187-198.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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AU - Weißenfels, C.

AU - Wriggers, P.

N1 - Funding information: This research project is supported by the Deutsche Forschungsgemeinschaft (German Research Foundation) within the research unit 1136: Simulation of Geotechnical Construction Processes with Holistic Consideration of Constitutive Laws in Soils.

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N2 - In this work two new concepts for a direct application of plasticity models within a frictional contact description are developed. These concepts can be used in conjunction with all different kinds of contact formulations and solution methods. Additionally, all types of plasticity models can be projected onto the contact surface. The advantage of these concepts is shown exemplary in the modeling process of soil-structure interactions where the projected plasticity models are able to describe the soil behavior at the contact surface. The numerical implementation of the new frictional relations is based on the Mortar method. A new type of mixed formulation is also introduced combining the augmented Lagrangian method to enforce the normal contact constraint with the penalty regularization written in Hellinger-Reissner form to implement the tangential contact behavior. This reformulation leads to a reduction of the CPU time compared to the standard penalty regularization, if the Mortar method is used. Finally, the numerical investigation of a direct shear test shows the accurate reproduction of the typical stress-strain relation of the soil at the contact surface.

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KW - Contact mechanics

KW - Finite element method

KW - Friction laws

KW - Mortar method

KW - Projection strategies

KW - Soil mechanics

KW - Soil-structure interactions

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