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Unformatted text preview: Mech 2 Materials Formula and Data Sheet Stress, Strain, Poissons ratio, elastic moduli: A F = , A F s = , A F p = , strain tensile strain lateral = l u n = , l w = , V V = n E = , G = , = K p F ( F s ) = normal (shear) component of force; A = area; u ( w ) = normal (shear) component of displacement; ( n ) = true tensile stress (nominal tensile strain); ( ) = true shear stress (engineering shear strain); p ( ) = external pressure (dilation); = Poissons ratio; E = Youngs modulus; G = shear modulus; K = bulk modulus. Bonding: ) ( n m r B r A Fdr U n m r < + = = ; U = potential energy, r = distance between the atoms, A , B , m , n = constants Composites: Loading parallel to fibres (upper bound) : m f f f V V ) 1 ( + = ; m f f f composite E V E V E ) 1 ( + = Loading perpendicular to fibres (lower bound): nm f nf f n V V ) 1 ( + = ;...
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