Some exact plane elasticity solutions for nonhomogeneous, orthotropic sheets

✍ Scribed by A. W. Leissa; A. F. Martin

• Publisher: Springer Netherlands
• Year: 1990
• Tongue: English
• Weight: 459 KB
• Volume: 23
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041686

✦ Synopsis

Exact plane stress solutions are presented for composite material sheets made of parallel fibers embedded in matrix materials. The fibers have variable spacing, and the resulting material is macroscopically orthotropic and nonhomogeneous. Formulas for the variable elastic coefficients are presented for arbitrary fiber spacing. Exact solutions for the stress, strain and displacement fields are presented for four types of problems with arbitrary fiber spacing: (1) Uniform normal stress on the edges parallel to the fibers (i.e., the longitudinal edges), zero normal displacement on the transverse edges; (2) zero normal stress on the longitudinal edges, uniform normal displacement on the transverse edges; (3) zero normal displacement in the longitudinal edges, uniform normal displacement on the transverse edges; and (4) zero normal displacement on the longitudinal edges, uniform shear stress on all edges. For the first three problems, the shear stresses on all boundaries are zero. For the last one, the normal stress on the transverse edge is zero.