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- W287589014 abstract "In this paper a method for frictional contact, impact and rolling of a two-dimensional hyperelastic body on rigid foundations is presented. A total Lagrangian formulation of the system is given. The elastic properties of the body are defined by coupling the second Piola-Kirchhoff stress to the Green-Lagrange strain via the Kirchhoff-St.Venant law. The rigid supports are described by smooth functions. By introducing the mean value impulses, these functions are utilized to formulate the contact/impact laws. The support functions appear explicitly in the variational formulation of Signorini, and implicitly in the maximal dissipation principle of Coulomb. An attractive property of this approach is that no search algorithm is needed. Another attractive property is that the normal and tangential directions of the supports are well defined. The above constitutive assumptions together with the law of motion, which is written on velocity form, define the governing equations of the system. The governing equations are solved by a nonsmooth Newton method. This is performed by following the augmented Lagrangian approach and deriving the consistent stiffness matrix as well as the contact stiffness matrices. The method is implemented in TriLab. TriLab is a toolbox for simulating contact problems. TriLab is developed using Matlab and Visual Fortran. The Fortran code is linked to Matlab as mex-files. The code is vectorized and the sparsity is utilized. By using TriLab, the presented method will be demonstrated by solving structural dynamic contact problems, impact problems as well as rolling contact problems" @default.
- W287589014 created "2016-06-24" @default.
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- W287589014 date "2005-01-01" @default.
- W287589014 modified "2023-09-23" @default.
- W287589014 title "Contact, impact and rolling of a nonlinear elastic body on rigid foundations" @default.
- W287589014 hasPublicationYear "2005" @default.
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