' technique can easily separate the rigid body motions, and those belong to deformational motions. In this article, a novel triangular element, named SST10, is formulated. This element will be used in several plane problems having irregular mesh...

In this paper, two new quadrilateral elements are formulated to solve plane problems. Low sensitivity to geometric distortion, no parasitic shear error, rotational invariance, and satisfying the Felippa pure bending test are characteristics...

To analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium...

The strain formulation approach improves accuracy and removes complications, such as, shear
parasitic errors and sensitivity to mesh distortions. For analyzing plane stress and strain problems,
two new strain-based ...

To obtain proper stresses , three new triangular elements are formulated in this study. First, a complementary energy functional is used within an element for the analysis of plane problems. In this energy manifestation, the Airy stress function...

This study focuses on the optimization of the plane structure. Sequential quadratic programming

(SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained

optimization ...

A new four-sided element is proposed for plane stress and strain problems. This generalized shape

element is formulated based on the strain states. Error assessment, improvement and increase of the

efficiency ...