Fibronectin (FN) textiles are built as nanometer-thick fabrics. When uniaxially loaded, these fabrics exhibit a distinct threshold between elastic and plastic deformation with increasing stretch. Fabric mechanics are modeled using an eight-chain network and two-state model, revealing that elastic properties of FN depend on conformational extension of the protein and that plastic deformation dep...

A fItrite element scheme (together with a conjugate gradient algorithmj is demonstrated to be a very effective method for analyzing general elastoplastic torsion of prismatic bars posed as quadratic programming problems. Solutions for bars with elliptical and Sokolovsky’s oval cross-sections are presented. The solutions for the elliptical bars agree with the existing elastic and limit plastic s...

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...

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...

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...

A new algorithm based on the Schwartz-Neumann alternating technique is developed for the solution of elastic-plastic fracture mechanics problems. An analytical solution for an elastic crack, with arbitrary crack-face loading, is used inside an initial stress iterative procedure as an addition to the finite element solution for the uncracked body. Iteration processes of the alternating method an...

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...