TY - JOUR
AU - Karpilovskyi, Viktor
PY - 2020/05/20
Y2 - 2024/06/21
TI - FINITE ELEMENTS OF THE PLANE PROBLEM OF THE THEORY OF ELASTICITY WITH DRILLING DEGREES OF FREEDOM
JF - International Journal for Computational Civil and Structural Engineering
JA - IJCCSE
VL - 16
IS - 1
SE - Articles
DO - 10.22337/2587-9618-2020-16-1-48-72
UR - https://ijccse.iasv.ru/index.php/ijccse/article/view/262
SP - 48-72
AB - <p>Twelve new finite elements with drilling degrees of freedom have been developed: triangular and quadrangular elements based on a modified hypothesis about the value of approximating functions on the sides of the element, which made it possible to avoid dimensional instability when all rotation angles are zero; incompatible and compatible triangular and quadrangular elements which can have additional nodes on the sides. Approximating functions satisfy the following condition: the value of the rotational degree of freedom of a node is nonzero and equal to one only for one of them. Numerical examples illustrate estimated minimum orders of convergence for displacements and stresses. All created elements retain the existing symmetry of the design models.</p>
ER -