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Extra resources for Laminar Composites
Boresi, A. , and P. P. Lynn. Elasticity in Engineering Mechanics, Englewood Cliffs, NJ: Prentice-Hall, 1974. 3. Dally, J. , and W. F. Riley. Experimental StressAnalysis, New York: McGrawHill, 1978. 4. Tsai, S. W. Composites Design, Dayton, OH: Think Composites, 1987. 34 Laminar Composites 5. Tsai, S. W. Mechanics o f Composite Materials, Part Il, Theoretical Aspects, AFML-TR-66-149, 1966. 1 Determine the displacement field for the following states of strain. If a strain component is not specified, assume it to be 0.
The lamina is orthotropic so extension and shear are uncoupled in the principal material directions. The extension and shear components of the compliance are determined independent of each other, with uniaxial tension used to determine the extension components. 2 shows the directions of normal load application required to establish the normal stress components of [S] in each direction. 1. Schematic of actual and modeled lamina. 2. Schematic of applied stress for determining an orthotropic elastic compliance matrix.
Simplifications to these equations can be made by assumptions such as plane stress. The relationships between elastic constants (shear, bulk, elastic moduli, and Poisson's ratio), which must be satisfied for an isotropic material, place restrictions on the possible range of values for Poisson's ratio of - 1 < v < I/2. In a similar manner, there are restrictions on the relationships between v~j and Ei in orthotropic materials. These constraints, first generalized by Lempriere , are based on considerations of the first law of thermodynamics.