Saint-Venant End Effects in the Plane Problem for Linearly Elastic Functionally Graded Materials

• Published in: Journal of elasticity Vol. 142; no. 1; pp. 121 - 134
• Main Author: Biria, Aisa
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.11.2020; Springer Nature B.V
• Subjects: Automotive Engineering; Axial stress; Classical Mechanics; Decay rate; Functionally gradient materials; Inhomogeneity; Modulus of elasticity; Physics; Physics and Astronomy; Slopes; 74G05; Saint-Venant’s principle; 74E05; 74B05; End effects; 2D elasticity; Inhomogeneity; 74E30; 74G50; Non-homogeneous material; FGM

An isotropic elastic strip, with a continuous inhomogeneity profile for Young’s modulus is considered, subject to a self-equilibrated load on one of its axial ends and free of traction on the remainder of its surface boundaries. By taking advantage of the analytical flexibility of an exponential inh...