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Contact problems with given friction and the coefficient of friction depending on their solutions are studied. We prove the existence of at least one solution; uniqueness is obtained under additional assumptions on the coefficient of friction. The method of successive approximations combined with the dual formulation of each iterative step is used for numerical realization. Numerical results of model examples are shown.
This paper presents the main concept and several key features of the user-defined interface of COMSOL Java API for the solution of mechanical problems in fractured rock. This commercial computational system based on FEM has yet to incorporate fractures in mechanical problems.
Our aim is to solve a 2D mechanical problem with a fracture which is defined separately from finite-element discretization and the fracture properties are included through the constitutive laws. This will be performed based...
We give an analysis of the stability and uniqueness of the simply
laminated microstructure for all three tetragonal to monoclinic
martensitic transformations. The energy density for tetragonal to
monoclinic transformations has four rotationally invariant wells since
the transformation has four variants. One of these tetragonal to
monoclinic martensitic transformations corresponds to the shearing of
the rectangular side, one corresponds to the shearing of the square
base, and one corresponds to...
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