Free-energy functions for elastic-plastic material elements

High order curvilinear finite elements for elastic-plastic Lagrangian dynamics

This paper presents a high-order finite element method for calculating elastic-plastic flow on moving curvilinear meshes and is an extension of our general high-order curvilinear finite element approach for solving the Euler equations of gas dynamics in a Lagrangian frame [1, 2]. In order to handle transition to plastic flow, we formulate the stress-strain relation in rate (or incremental) form...

A new elastic-plastic material model with non-linear elastic behaviour for thermoplastic elastomers

Thermoplastic Elastomers (TPE) are materials, which combine the advantages of elastomers and thermoplastics. TPE is not only used as replacement for thermoplastics. More and more parts, formerly made of rubber like CVJ boots and hydraulic seals, are nowadays made of TPE. Since the mechanical behavior of TPEs is different to elastomers, the design of TPE parts cannot be copied directly from thei...

Energy Propagation in a Cauchy Elastic Material*

Strain Elastic-plastic Theories

In a unified approach, the virtual work equations in rate form and in incremental forms are derived rigorously for elastic-plastic continuum subjected to large strains. T h e finite element p r d u r e s for the analyses of clastic-plastic solid b a d on Lee’s theory and the Green-Naghdi theory arc presented. Also, i t i s shown that transformations can be performed among the Eulerian, the Tota...

Harvesting Vibrational Energy Using Material Work Functions

Vibration energy harvesters scavenge energy from mechanical vibrations to energise low power electronic devices. In this work, we report on vibration energy harvesting scheme based on the charging phenomenon occurring naturally between two bodies with different work functions. Such work function energy harvester (WFEH) is similar to electrostatic energy harvester with the fundamental distinctio...