Abstract--L-shaped beams subjected to pure elastic-plastic bending are investigated thoroughly. The shifting and rotating of the neutral axis of the beam during bending and springback after unloading are described mathematically, while the curvatures of the beam before and after springback are given. The method proposed in this paper is valuable both to the further theoretical studies of the as...

Abstract A closed form analytical solution for both the quasi-static or dynamic strain hardening cylindrical cavity-expansion (CCE) problems requires plastic region to be incompressible. This is due fact that in cases a hydrostatic stress state must explicitly included function, making an intractable. Additionally, problem elastic compressible avoid logarithmic singularity at infinity. An alter...

A mathematical theory of time-dependent dislocation mechanics of unrestricted geometric and material nonlinearity is reviewed. Within a ‘small deformation’ setting, a suite of simplified, but interesting, models, namely a nonlocal Ginzburg Landau, a nonlocal level set, and a nonlocal generalized Burgers equation are derived. In the finite deformation setting, it is shown that an additive decomp...

In this study a Modified Compressible Smoothed Particle Hydrodynamics (MCSPH) method is introduced which is applicable in problems involve shock wave structures and elastic-plastic deformations of solids. As a matter of fact, algorithm of the method is based on an approach which descritizes the momentum equation into three parts and solves each part separately and calculates their effects on th...

A computer program is developed for the finite element nonlinear analysis of two-dimensional reinforced concrete structures under monotonie loading. The smeared-crack approach is used and the reinforcement is considered uniformly distributed within the element. An elastic work-hardening plastic stress-strain relationship with nonassociated flow rule is assumed for the concrete in compression an...

The exceptional strength and distinct deformation physics exhibited by pure ultrafine-grained and nanocrystalline metals in comparison to their microcrystalline counterparts have been ascribed to the dominant influence of grain boundaries in accommodating plastic flow. Such grain-boundary-mediated mechanisms can be augmented by additional strengthening in nanocrystalline alloys via solute and p...

Magnesium alloys are primarily used in aeronautical and automobile industry in wide variety of structural characteristics because of their favourable combination of tensile strength (160 to 365 MPa), elastic modulus (45 GPa), and low density (1 740 kg/m), which is two-thirds that of aluminium). Magnesium alloys have high strength-to-weight ratio (tensile strength/density), comparable to those o...

Reliability assessment of reciprocating equipment piston rod leads to nonlinear elastic-plastic deformation analysis of rod with initial imperfection under axial dynamic load. In this paper a new and effective model and analytical simulation method are presented to evaluate dynamic deformation and elastic-plastic stress of reciprocating machine piston rod. This new method has capability to acco...

We give some empirical comparisons between two nonparametric regression methods based on regularization: the elastic or thin-plate splines, and plastic splines based on total variation penalties. 1. Nonparametric regression with elastic and plastic splines We seek f to fit the dependence of response points zi ∈ R on two-dimensional covariates (xi, yi) living in the domain Ω. To this end, we emp...