چكيده لاتين :
The present paper attempts to develop a new analytical integration to evaluate the element stiffness matrix for the finite elements with irregular shapes. Most of the finite elements developed by Sabir are based on the strain rather than displacement approach. They are characterized by a regular form and appropriate coordinates with the form of the element.
Together, they tend to decrease the elements utilization domain. Hence, for reasons of importance and particularity of these elements (higher order shape functions expressed in terms of independent strains); it is necessary to introduce irregular forms, which require a special integration technique, and a specific classification in programming level for different geometric forms. To overcome this geometrical inconvenience; the paper presents a new integration solution routine. This will help to know how the elements will behave when they
have irregular form, and to extend their applications domain for the curved structures no matter what the geometrical shape of the element might be.
