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The in-plane tangent extensional stiffness, bending stiffness, bending stretching coupling stiffness matrices are obtained by differentiating the strain energy density function.
The model contains three parameters: longitudinal stiffness, bending stiffness and critical stretch of a strut.
If the payload depends on the shear force stiffness, bending moment stiffness or the slope, the derivatives of the unknown function are involved in the nonlinear term explicitly.
Two critical network densities are found to divide the stiffness behavior into three stages: zero stiffness, bending dominated and stretching dominated stages.
In the first part of this chapter ASTM methods are discussed covering the tensile, stiffness, bending and tear testing of woven, knitted and nonwoven fabrics.
The total energy stored in a pair of meshing gears was the sum of Hertzian energy, bending energy, shear energy and axial compressive energy corresponding to Hertzian stiffness, bending stiffness, shear stiffness and axial compressive stiffness, respectively.
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The stiffness of the cross-section depends upon the contribution made by extensional stiffness, coupling stiffness and bending stiffness terms (Jones 1975).
The natural frequencies depend upon the contribution made by extensional stiffness, coupling stiffness, and bending stiffness terms in addition to the boundary conditions and panel geometry among others.
We determine also the mechanical properties of twin graphene, including the in-plane stiffness, Poisson's ratio, shear stiffness and bending stiffness.
Due to the presence of joints, the overall tunnel stiffness, including the bending stiffness and shearing stiffness, are significantly reduced.
The ratio of the axial stiffness to the bending stiffness was found to be a crucial parameter in the analysis.
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