An alternative assumed strain method

• In this paper, an Alternative Assumed Strain (AAS) method is put forward, on the basis of a previous work. The method has two main features: the stresses are eliminated from the finite element formulation by satisfying the stress-strain equations with the assumed strains, which is much more convenient than the L2-orthogonal condition in Enhanced Assumed Strain (EAS) method for developing finite elements; the stresses, obtained from the assumed strains with the stress-strain relations, are forced to satisfy the equilibrium equations identically to reduce the number of assumed strain parameters and to improve finite element efficiency. The method is applied to develop several variations of 3-node triangular and 4-node quadrilateral Mindlin plate elements. Numerical examples show that efficient elements could be obtained from the suggested method.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)

Nyckelord

Assumed strain

Euler-Lagrangian equation

Hu-Washizu variational principle

Mindlin-Reissner plate

Equations of motion

Finite element method

Strain

Stress analysis

Variational techniques

Alternative assumed strain (AAS) method

Structural analysis

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