Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

The main aim of this paper is to study the material removal phenomenon using the finite element method (FEM) analysis for orthogonal cutting, and the impact of cutting speed variation on the chip formation, stress and plastic deformation. We have explored different constitutive models describing the tool-workpiece interaction. The Johnson-Cook constitutive model with damage initiation and damag...

Modeling the full-range deformation behaviors of materials under complex loading and conditions is a significant challenge for constitutive relations (CRs) modeling. We propose general encoder-decoder deep learning framework that can model high-dimensional stress-strain data histories with robustness universal capability. The employs an encoder to project input information (e.g., history, condi...

Shape memory polymers (SMPs) are one of the intriguing functional materials and have been widely intensively studied. In order to apply these new load bearing engineering structures devices, developing physics-based thermomechanical constitutive models is mandatory. The aim this Tutorial demonstrate how establish a model for SMPs. It begins with classifications SMPs, followed by discussion on u...