Description

Book Synopsis

Contact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization.

This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix an essential ingredient for iterative calculation is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method.

Contact in Structural Mechanics

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    A Hardback by Anh Le van

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      Publisher: ISTE Ltd and John Wiley & Sons Inc
      Publication Date: Publication Date: 14/01/2024
      ISBN13: 9781786309068, 978-1786309068
      ISBN10:

      Description

      Book Synopsis

      Contact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization.

      This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix an essential ingredient for iterative calculation is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method.

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