Green’s Function Method for Calculation of Stress Fields in Composite Materials
A Green’s function method is described for calculating the displacement and the stress fields in an elastic composite solid. The Green’s function is obtained by solving the equations of elastic equilibrium (Christoffel’s equation) for a delta function force with prescribed boundary conditions. The Green’s function then gives the solution of the Christoffel’s equation for any integrable force distribution. The solution gives the displacement field from which the stress field is calculated- The discontinuities or defects in the solid are represented by appropriate boundary conditions. The method is illustrated by applying it to a composite solid containing a plane interface and a (45/-45) fiber-reinforced composite having a free surface normal to the interface.
KeywordsDisplacement Field Representative Volume Element Concentric Cylinder Continuum Damage Mechanic Imperfect Interface
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References and Footnotes
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