نتایج جستجو برای: modified strain gradient
تعداد نتایج: 583107 فیلتر نتایج به سال:
Abstract We call nonlinear dilatational strain gradient elasticity the theory in which specific class of second continua is considered: those whose deformation energy depends, an objective way, on placement and determinant placement. It interesting particular case complete Toupin–Mindlin elasticity: indeed, it, only effects are due to inhomogeneous dilatation state considered deformable body. T...
This is a review paper containing the governing equations and analytical solutions of classical shear deformation theories functionally graded straight beams. The classical, first-order, third-order account for through-thickness variation two-constituent material, modified couple stress (i.e., strain gradient), von Kármán nonlinearity. Analytical bending linear theories, some which are not read...
Based on an eigenvalue analysis, a new proof for the sufficient descent property of the modified Polak-Ribière-Polyak conjugate gradient method proposed by Yu et al. is presented.
A size-dependent Euler–Bernoulli beam model, which accounts for nonlocal stress field, strain gradient field and higher order inertia force field, is derived based on the nonlocal strain gradient theory considering velocity gradient effect. The governing equations and boundary conditions are derived both in dimensional and dimensionless form by employed the Hamilton principle. The analytical so...
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