AN APPROACH TO STATICAL AND QUASI-STATICAL NONLINEAR ANALYSIS OF STRUCTURES IN SMALL STRAINS AND FINITE ROTATIONS HYPOTHESES

作者：Lopez S^*; Russo K; La Sala G

来源：International Journal of Structural Stability and Dynamics, 2013, 13(1): 1250039.

DOI：10.1142/S0219455412500393

• Statical and quasi-statical structural analysis
• finite rotations
• small strains
• selective strain definitions

A geometrically nonlinear formulation to analyze structures in the hypotheses of large displacements and rotations and small strains is presented. In this formulation, applied to low-order elements and based on the total Lagrangian kinematics, the use of the rotation matrices is bypassed. A selectively based definition of the strain tensor, used in order to avoid shear-locking problems, is effected by the linear definition of deformations because it is element reference system independent. In addition, complex manipulations required to obtain conservative descriptions and well-posed transformation matrices are avoided. Numerical tests have been carried out to validate the developed technique both in the statical and in the quasi-statical context.

• 出版日期2013-2