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The paper presents an overview of the problem of assessing an increment of strain energy due to the appearance of small cavities in elastic solids.
The results show that the frequency of piezoelectric laminated microbeam-damping system declines with the growth of nonlocal stress gradient parameter while increases with the increment of strain gradient parameter.
For AGNR with n=3m, the increment of strain increases the DOS remarkably.
The term (varepsilon_{ij}^{p}) corresponds to the increment of inelastic strain in the medium after the events occurring in ΔV (i.e., the increment of strain).
The summation of forces acting on concrete and reinforcing steel at each increment of strain generated one point on the cross section axial force-bending moment interaction diagram.
Finally, since the relationship between the ω2D peak and strain has already been established, the external strain can also be estimated from the shift of the ω2D peak at each increment of strain with reference to the position of the peak at 0% strain.
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The increment of strain-at-break of the PU films also can be observed after the inclusion of MWNTs.
Two classes of basic extensions of classical \(J_2\) theory have been proposed: one with increments in higher order stresses related to increments of strain gradients and the other characterized by the higher order stresses themselves expressed in terms of increments of strain gradients.
Instead the increments of strains and displacements can also increase or decrease from cycle to cycle and possibly disappear completely, so that the monotonous strain accumulation is limited.
It has also been shown that the increments of strains and displacements can increase or decrease from cycle to cycle, whereby in the latter case the progressive deformation is then limited.
The increments of strains and displacements can decrease or increase from cycle to cycle, when the material is hardening, or if elastic foundation is present, or if the equilibrium condition is formulated for the deformed system (second-order theory) or if "large" rotations are taken into account (third-order theory).
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