L6 - Elastoplastic Materials Y ! > Y...

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Composite Materials Fiber-reinforced composite materials are formed from lamina of fibers of graphite, glass, or polymers embedded in a resin matrix. z z z y y y x x x E E E ! " = = = • directionally dependent moduli of elasticity x z xz x y xy # = # = • directionally dependent values of Poisson’s ratio • Materials with directionally dependent mechanical properties are anisotropic .
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Saint-Venant’s Principle • Loads transmitted through rigid plates -> uniform distribution of stress and strain.
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Saint-Venant’s Principle: Stress distribution may be assumed independent of the mode of load application except in the immediate vicinity of load application points. uniform at a short distance from the loading points. • Concentrated loads -> large stresses in the vicinity of the loading point.
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Stress Concentration: Hole Discontinuities of cross section may result in high localized or concentrated stresses.
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ave max ! = K Stress-concentration Factor Across the narrowest section
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Stress Concentration: Fillet
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Unformatted text preview: Elastoplastic Materials Y ! > Y > For ductile materials: If then plastic deformations occur Simplified and idealized: elastoplastic material Deformations of an elastoplastic material: elastic and plastic Permanent deformations Y > Plastic Deformations Y ! < max Y < max Y < max elastic deformation P = " ave A = max A K at the maximum elastic loading P Y = Y A K plastic deformations develop near the hole plastic region expands until P U = Y A = K P Y y = max y P P > Y ave = Residual Stresses Residual stresses will remain if- only part of the structure undergoes plastic deformation- different parts of the structure undergo different plastic deformations- Uneven heating or cooling of structures or structural elements Residual stress: remaining stress after the load is removed. 2.93,2.98,2.120,2.113...
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L6 - Elastoplastic Materials Y ! > Y...

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