Exact(19)
Transformations of generalized strain perturbations that preserve the angular strain are sought.
The ensuing generalized strain parameters and curvatures retain the full geometric nonlinearities.
It was also shown that the direction of the vector of generalized strain rates obeys the normality rule.
From the framework of the generalized stress function approach, only the generalized strain compatibility equations needed to be satisfied.
Sensitivity of stiffness to the density design variable is derived analytically based on the solution of unit cell problems under corresponding generalized strain fields.
However, traditional WFEM mainly focuses on accurate analysis of generalized displacement, generalized stress and generalized strain should be calculated secondly through displacement.
Similar(41)
These terms include axial, bending and torsional stiffening effects which arise when second-order generalized strains are retained.
A new family of simple generalized strains and conjugate stresses based on the material metric (right Cauchy Green) tensor is proposed.
After the solution of the fundamental system of equations in terms of displacements and rotations, the generalized strains and stress resultants are evaluated by applying the Differential Quadrature rule to the generalized displacements.
It takes into account 3D strain and stress state, fulfilling equilibrium, compatibility, and constitutive equations at any point, stress-free conditions on lateral surfaces, but preserves control by cross-sectional stress resultant forces and corresponding generalized strains.
Taking into account the geometric and mechanical properties of the corrugated board components, this homogenization model leads to an elastic stiffness matrix relative to the generalized strains and internal efforts for an equivalent orthotropic plate.
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