In this paper, a stress integration algorithm is presented for a generalized elasto-plastic material model governed by the three stress invariants I1, J2 and J3. The methodology is successfully applied to the Mohr–Coulomb material model with a non-associated flow rule and implemented in ADINA.

The dependence of the Weibull stress is investigated on the parameters of the elasticplastic crack tip field. The general form of the Weibull stress is given for a three-parameter approximation of the elasto-plastic crack tip field. This is the basis to define a constraint correction of the critical value of the J-integral for cleavage fracture.

The presliding displacement and stiction properties of friction models are investigated. It is found that existing single-state-variable friction models possess either stiction or presliding displacement. Next, those models with continuous states are interpreted as examples of Prandlt’s elasto-plastic material model. A class of general one-state models is derived that is stable, dissipative and...

In this work, we present a deep neural network architecture that can efficiently surrogate classical elasto-plastic constitutive relations. The is enriched with crucial physics aspects of elasto-plasticity, including additive decomposition strains into elastic and plastic parts, nonlinear incremental elasticity. This leads to Physics-Informed Neural Network (PINN) model named here as Elasto-Pla...

An efficient full-field method of computing the local and homogenized macroscopic responses of elasto-plastic polycrystalline microstructures based on the fast Fourier transform (FFT) algorithm is presented. This approach takes realistic microstructure images as the input and estimates the mechanical response/properties of polycrystal microstructures under periodic boundary conditions without r...

Thermo-Elasto-Plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. These tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. The power law modeling has been used for through-the-thickness variation of mechanical properties. von Mises yield criterion and Elas...

The mechanics of a woven wire mesh material are investigated to characterize the elasto-plastic behavior of this class of materials under tensile conditions. The study focuses on a representative 316 L stainless steel (316 L SS) 325 2300 twill-dutch woven wire mesh typically used as a fine filtration media in applications such as water reclamation, air filtration, and as a key component in swab...