This paper presents a computational framework that generates ensemble predictive mechanics models with uncertainty quantification (UQ). We first develop causal discovery algorithm to infer relations among time-history data measured during each representative volume element (RVE) simulation through directed acyclic graph. With multiple plausible sets of relationships estimated from RVE simulatio...

Abstract A new criterion for predicting metal failure effects under cyclic loading conditions is derived from an innovative elastoplasticity model established most recently. As compared with usual approaches, novel results this are presented in four respects: (i) both low and high cycle fatigue can be simultaneously simulated a unified direct manner; (ii) cumbersome trial‐and‐error procedures i...

The cutting is an important machining technology, in which is belong to nonlinear large deformation, involving material nonlinear, geometry nonlinear and original bug, the thermal energy coupling question, and the nonlinear boundary condition, and so on. For the processing of metal cutting, using the large-scale commercial finite element theory, the coupling finite element model is established ...

Starting from a thermomechanical description of elastoplasticity, a stress-based variational principle is derived. The principle, which generalizes von Mises’s principle of maximum plastic dissipation, reproduces the conventional elastic/hardening-plastic framework applicable to metals as a special case and further proves to be suitable for developing constitutive models for frictional material...

In this paper, the meshless integral method based on the regularized boundary integral equation [1] has been extended to analyze the large deformation of elastoplastic materials. The updated Lagrangian governing integral equation is obtained from the weak form of elastoplasticity based on Green-Naghdi’s theory over a local sub-domain, and the moving least-squares approximation is used for meshl...

An optimal control problem of static plasticity with linear kinematic hardening and von Mises yield condition is studied. The problem is treated in its primal formulation, where the state system is a variational inequality of the second kind. First-order necessary optimality conditions are obtained by means of an approximation by a family of control problems with state system regularized by Hub...

The tensor M has 3 = 81 entries and no symmetries. Both the construction and application of M are somewhat expensive, and both can be avoided. If F = UΣV , then it turns out that Z(F, α) = UẐ(Σ, α)V and W(F) = UŴ(Σ)V , where Ẑ(Σ, α) and Ŵ(Σ) are diagonal matrices. It follows then that Y(F) = UŶ(Σ)V , with Ŷ(Σ) = Ŵ(Ẑ(Σ, α)), where Ŷ(Σ) is also a diagonal matrix. To be able to carry out these ste...

Awell-established numerical approach to solve the Navier–Stokes equations for incompressible žuids is Chorin’s projection method [1], whereby the žuid velocity is explicitly updated, and then an elliptic problem for the pressure is solved, which is used to orthogonally project the velocity eld to maintain the incompressibility constraint. In this paper, we develop a mathematical correspondence...