Numerical solutions of unilateral problems in elasticity

numerical solution of thermo-elasticity problems in functionally graded materials

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Numerical Solutions to Unilateral Frictional Contact Problems in Glass Façade Systems

Glass is a brittle material. Its use in constructing structural elements of civil engineering can still be considered as an innovative technique. In order to take a full advantage of its principal qualities (transparency, aestheticism, durability, etc.), architects are pushing the conception of glass structural elements towards the adoption of more and more slender elements, entailing necessari...

Numerical Experiments for Multiscale Problems in Linear Elasticity

This paper gives numerical experiments for the Finite Element Heterogeneous Multiscale Method applied to problems in linear elasticity, which has been analyzed in [A. Abdulle, Math. Models Methods Appl. Sci. 16, 2006]. The main results for the FE-HMM a priori errors are stated and their sharpness are verified though numerical experiments.

Solutions to Selected Problems in NUMERICAL OPTIMIZATION

ON MAXWELL'S STRESS FUNCTIONS FOR SOLVING THREE DIMENSIONAL ELASTICITY PROBLEMS IN THE THEORY OF ELASTICITY

The governing equations of three dimensional elasticity problems include the six Beltrami-Michell stress compatibility equations, the three differential equations of equilibrium, and the six material constitutive relations; and these are usually solved subject to the boundary conditions. The system of fifteen differential equations is usually difficult to solve, and simplified methods are usual...