Analysis of a curved bimetallic beam

Abstract

This paper deals with the determination of stresses and displacements in a curved bimetallic beam which has uniform curvature. The two curved beam components of different materials have common displacements at their interface. The thermal load is derived from uniform temperature change. Two models are considered. The first one is based on the theory of the generalized plane stress state of elasticity and the second one uses a strength of materials approach. The results obtained by these models are verified by a comparison with finite element analysis.

Topológiai optimalizálási feladatok alapvető sajátosságai Abaqus végeselemes programrendszerben

“…Tekintsünk egy görbe középvonalú rudat, amelynek két szélső keresztmetszetét befalaztuk, a középső harmadát konstans nyomással terheltük, ahogy az az 5. ábrán is látszik. A 0,1 m vastag rúd külső és belső sugarai rendre 3 m és 4 m. Hasonló görbe középvonalú rudak mechanikai problémáival számos cikk foglalkozik, példaként hozható a [20,21], amelyek a stabilitásvesztéssel, avagy [22] amelyek a feszültséganalízisével foglalkoznak.…”

“…ennek a feladatnak a megoldása a [22] cikkben ismertetett összefüggéseivel a feszültség és elmozdulásmezője meghatározható lenne. A végeselemes programrendszerben a funkcionálisan gradiens anyagok jellemzőinek megadására több lehetőség áll rendelkezésre.…”

Elastic mechanics solution of thermal expansion of bi-material curved beam and its application to negative thermal expansion metamaterials

“…Therefore, it is necessary to propose a more accurate theory to study the thermal deformation of bi-material circular beams. In 2019, Gonczi proposed the elasticity method of thermal expansion bending of bi-material circular arc curved beam with the utility of the theory of elastic small deformation, and verified its validity through numerical simulation results 34 . However, there was a lack of further parameter analysis on the thermal expansion effect and other properties of circular arc.…”

Thermoelastic problems of functionally graded multilayered incompressible spherical bodies

“…A lot of papers and books deal with the mechanics of these advanced materials. Books by Boley and Weiner [1], Lekhnitskii [2] and Lomakin [3] give solutions to many linearly elastic problem for nonhomogeneous bodies, furthermore there are lots of papers, such as [4][5][6][7][8][9][10][11] that tackle the thermomechanical problems of different simple functionally graded and multilayered components (e.g. beams or disks) from different aspects.…”