Exact solution of the thermal elastica problem using Jacobi elliptic functions
From MaRDI portal
Publication:6058550
DOI10.1007/s00707-023-03661-9zbMath1530.74025OpenAlexW4385455162MaRDI QIDQ6058550
Publication date: 1 November 2023
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-023-03661-9
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Cites Work
- Unnamed Item
- Unnamed Item
- Exact solutions for nonlinear static responses of a shear deformable FGM beam under an in-plane thermal loading
- Postbuckling of elastic beam subjected to a concentrated moment within the span length of beam
- Large thermal deflections of Timoshenko beams under transversely non-uniform temperature rise
- Stability and equilibrium of the straight and curved elastica-finite element computation
- Analysis of thermal post-buckling of heated elastic rods
- Elastica solution for the hygrothermal buckling of a beam
- Comparative study of thermal post-buckling analysis of uniform slender shear flexible columns using rigorous finite element and intuitive formulations
- Explicit analysis of large transformation of a Timoshenko beam: post-buckling solution, bifurcation, and catastrophes
- Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force
- Thermal elastica of shear-deformable beam fabricated of functionally graded material
- Exact solutions for the buckling and postbuckling of shear-deformable beams
- On one-dimensional finite-strain beam theory: the plane problem
This page was built for publication: Exact solution of the thermal elastica problem using Jacobi elliptic functions
