Title :
Complementary Eigenvalue Problem in Systems with Frictional Contact: The Stiffness Matrix for the Contact Nodes between Different Materials
Author :
Forjaz, Maria Antonia ; Almeida, Antonio Mario ; de Lacerda-Aroso, T. ; Pamplona, Jorge
fDate :
June 30 2014-July 3 2014
Abstract :
This work addresses a numerical study of static equilibrium states of finite dimensional systems with frictional contact and its application to the particular problem of friction between two geological layers with different viscosity. Its formulation as a complementarity eigenproblem requires the building up of mass M and stiffness K matrices to solve the eigenvalue equations for the relative deformation of two contacting materials.
Keywords :
eigenvalues and eigenfunctions; elasticity; friction; geology; matrix algebra; multidimensional systems; viscosity; complementary eigenvalue problem; contact nodes; eigenvalue equations; finite dimensional systems; frictional contact; geological layers; static equilibrium states; stiffness matrix; viscosity; Educational institutions; Eigenvalues and eigenfunctions; Geology; Materials; Symmetric matrices; Vectors; Complementary Eigenvalue Problem; Finite Element Method; frictional contact; stiffness matrix;
Conference_Titel :
Computational Science and Its Applications (ICCSA), 2014 14th International Conference on
Conference_Location :
Guimaraes
DOI :
10.1109/ICCSA.2014.62
