Nonlinear analysis of structures is an effective way for predicting the bearing capacity or
ultimate strength of a structure. This paper will review researches on the nonlinear, buckling …

The paper proposes a method to analyze the post-buckling response of a planar elastica
subjected to unilateral constraints. The method rests on assuming a deformed shape of the …

Finite deformations of planar slender beams for which shear strain can be neglected are
described by the extensible-elastica model, where the strain-displacement relation is …

This paper investigated the post-buckling behaviors of a variable-arc-length (VAL) elastica
pipe caused by internal transporting fluid motion, accounting for the effects of the self-weight …

Elastica theory studies large deformation of slender beams and rods. The elliptic integral
solution (EIS) is an accurate and efficient theoretical solution to elastica problem. However …

In this paper, geometrically nonlinear analysis of functionally graded curved beams with
variable curvatures based on Timoshenko beam theory is presented. Considering the axial …

By integrating the physical and time domains with the Galerkin method and adopting
approximate solutions satisfying the boundary conditions, a set of algebraic equations of …

A theory for incompressible rubber-like straight rods undergoing finite strains and finite
rotations is presented. Strains are expanded asymptotically for transverse coordinate of …

This paper studies a variable length elastica with a fixed point constraint by an assembly
method that regards the whole elastica as an assembly of two components, ie, pinned …

In the present study, a simple and efficient finite element approach is presented for large
deflection analysis of both the straight and curved Euler–Bernoulli beams in the planar static …