The stress in a laminate varies from layer to layer. Hence, it is convenient to deal with a simple but equivalent system of forces and moments acting on a laminate cross section. Therefore, the resultant forces and moments are obtained by integrating the corresponding stress through the laminate thickness, .
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(17.3) |
and
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(17.4) |
N is the membrane force vector, M is the bending moment vector and n is the total number of layers. The constitutive relations are given by
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(17.5) |
, and the extensional, extensional-bending coupling and bending stiffness matrix of the laminate respectively are defined as
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(17.6) |
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