Theories and Analysis of Functionally Graded Beams

Applied Sciences

Jose A. Loya¹  Eugenio Ruocco²  Ana M. A. Neves³  J. N. Reddy⁴ 

[1] Department of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, 28911 Madrid, Spain;Department of Engineering, University of Campania “Luigi Vanvitelli", Via Roma 29, 81031 Aversa, Italy;Department of Mechanical Engineering, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal;J. Mike Walker ’66 Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA;

关键词: analytical solutions;    beams;    classical theory;    shear deformation theories;    functionally graded structures;    modified couple stress;   

DOI  :  10.3390/app11157159

来源: DOAJ

【 摘 要 】

This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Kármán nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads.

【 授权许可】

Unknown