Convergence of an equilibrium finite element model for plane elastostatics

Ivan Hlaváček

Displaying similar documents to “Convergence of an equilibrium finite element model for plane elastostatics”

Contact between elastic bodies. III. Dual finite element analysis

Jaroslav Haslinger, Ivan Hlaváček (1981)

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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L 2$ -error estimate is proven provided the exact solution is regular enough.

On the solution of the displacement boundary-value problem for elastic-inelastic materials

Oldřich John (1974)

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Convergence of a finite element method based on the dual variational formulation

Jaroslav Haslinger, Ivan Hlaváček (1976)

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Slab analogy in theory and practice of conforming equilibrium stress models for finite element analysis of plane elastostatics

Miroslav Vondrák (1985)

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The fundamental problem in the application of the principle of complementary energy is the construction of suitable subsets that approximate the set of all statically admissible fields satisfying both the conditions of equilibrium inside the body and the static boundary conditions. The notion “slab analogy” is motivated and the interface conditions for the Airy stress function are established at the contact of two domains. Some spaces of types of conforming equilibrium stress elements,...