𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A nonlinear plate finite element formulation for shape memory alloy applications

✍ Scribed by E. Artioli; S. Marfia; E. Sacco; R.L. Taylor

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
665 KB
Volume
89
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

SUMMARY

The aim of the present work is to develop a new finite element model for the finite strain analysis of plate structures constituted of shape memory alloy (SMA) material. A three‐dimensional constitutive model for shape memory alloys able to reproduce the special thermomechanical behavior of SMA characterized by pseudoelasticity and shape memory effects is adopted. The finite strain constitutive model is thermodynamically consistent and is completely formulated in the reference configuration. A two‐dimensional plate theory is proposed based on a tensor element shape function formulation. The displacement field is expressed in terms of increasing powers of the transverse coordinate. The equilibrium statement is formulated on the basis of the virtual displacement principle in a total Lagrangian format. The proposed displacement formulation is particularly suitable for the simple derivation of high‐order finite elements. Numerical applications are performed to assess the efficiency and locking performance of the proposed plate finite element. Some additional numerical examples are carried out to study the accuracy and robustness of the proposed computational technique and its capability of describing the structural response of SMA devices. Copyright Β© 2011 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

A new finite element technology for shap
A new finite element technology for shape memory alloy composites
✍ D. Christ; S. Reese; K. Neuking πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 348 KB

## Abstract In this paper, we present a computationally efficient implementation of a continuum mechanical model for shape memory alloys into a finite element code. The model covers several thermomechanically coupled effects typical for the material behaviour of shape memory alloys, e.g. pseudo‐ela

A mixed finite element formulation for p
A mixed finite element formulation for plate problems
✍ A. Chatterjee; A. V. Setlur πŸ“‚ Article πŸ“… 1972 πŸ› John Wiley and Sons 🌐 English βš– 674 KB

A mixed triangular finite element model has been developed for plate bending problems in which effects of shear deformation are included. Linear distribution for all variables is assumed and the matrix equation is obtained through Reissner's variational principle. In this model, interelement compati

A nonlinear model for ferromagnetic shap
A nonlinear model for ferromagnetic shape memory alloy actuators
✍ H. Tan; M.H. Elahinia πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 539 KB

Ferromagnetic shape memory alloys (FSMAs) such as Ni-Mn-Ga have attracted significant attention over the last few years. As actuators, these materials offer high energy density, large stroke, and high bandwidth. These properties make FSMAs potential candidates for a new generation of actuators. The

A macroscopic constitutive model for sha
A macroscopic constitutive model for shape-memory alloys: Theory and finite-element simulations
✍ P. Thamburaja; N. Nikabdullah πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 595 KB

In this work, we develop a non-local and thermo-mechanically-coupled constitutive model for polycrystalline shape-memory alloys (SMAs) capable of undergoing austenite $ martensite phase transformations. The theory is developed in the isotropic metal-plasticity setting using fundamental thermodynamic