A one-point quadrature element is developed for shells which overcomes two drawbacks of
a similar element developed previously by the senior author and co-workers. The kinematics …

A Hermite reproducing kernel (RK) approximation and a sub‐domain stabilized conforming
integration (SSCI) are proposed for solving thin‐plate problems in which second‐order …

A new discontinuous Galerkin method for elliptic problems which is capable of rendering the
same set of unknowns in the final system of equations as for the continuous displacement …

In this paper we present a special treatment of transverse shear components in C 0 bilinear
and biquadratic plate elements that excludes the occurrence of locking completely and …

A new concept of explanation of the shear locking phenomenon occurring in the
Timoshenko beam is presented. Instead of element matrix analysis the global expression of …

The finite element method originated in the aerospace industry in the mid-1950s to solve
practical stress analysis problems associated with the struc-tural design of aerospace …

A theorem is presented which defines the conditions under which an equivalent mixed finite
element based on the Hellinger-Reissner principle exists for a given mode decomposition …

A family of thick plate quadrilateral elements is derived based on the hybrid-Trefftz
formulation. Exact solutions of the governing equations are used inside the element together …

A simple and effective linear C0‐triangular element for plates and shells is developed on the
basis of the Hellinger‐Reissner mixed variational principle with independently assumed …

A new methodology of evaluation of C0 beam elements is presented. It is shown that,
knowing the stiffness matrix of an arbitrary type of element, it is possible to create equivalent …