Existence, uniqueness and regularity of solutions for a thermomechanical model of shape memory alloys

نویسندگان

  • Tudor Ratiu
  • Aida Timofte
  • Vlad Timofte
چکیده

This paper considers a thermomechanical model describing the behavior of shape memory alloys (SMA). This new model (see [3]) takes into account the nonisothermal character of the phase transformations, as well as the existence of the intrinsic dissipation. For the governing equations we prove existence, uniqueness and regularity in certain well chosen functions spaces. MSC: 74N30, 74H20, 74H25.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

TRANSFORMATION BEHAVIOR OF NiTi SHAPE MEMORY ALLOYS TREATED BY THERMOMECHANICAL PROCESSING USING DSC

Abstract: In the present study the effect of thermomechanical treatment (cold work and annealing) on the transformation behavior of NiTi shape memory alloys was studied. Differential scanning calorimetry was used to determine transformation temperature and its relation to precipitates and defects. Three alloys including Ti-50.3at.% Ni, Ti-50.5at.% Ni (reclamated orthodontic wires) and 50.6at...

متن کامل

A 3d Micro-Plane Model for Shape Memory Alloys

are compared with the experimental results. In these test results the shape memory alloys behavior as: super elasticity under various temperatures, loading rate effects, asymmetry in tension and pressure, various loops of loading and unloading, hydrostatic pressure effects, different proportional tension-shear biaxial loading and unloading, and also deviation from normality due to non-proportio...

متن کامل

E. Bonetti SOME RESULTS ON THE WELL-POSEDNESS OF AN INTEGRO-DIFFERENTIAL FRÉMOND MODEL FOR SHAPE MEMORY ALLOYS

This note deals with the nonlinear three-dimensional Frémond model for shape memory alloys in the case when the heat flux law contains a thermal memory term. The abstract formulation of the initial and boundary value problem for the resulting system of PDE’s is considered. Existence and uniqueness of the solutions can be proved by exploiting a time discretization semi-implicit scheme, combined ...

متن کامل

Adaptive Tunable Vibration Absorber using Shape Memory Alloy

This study presents a new approach to control the nonlinear dynamics of an adaptive absorber using shape memory alloy (SMA) element. Shape memory alloys are classified as smart materials that can remember their original shape after deformation. Stress and temperature-induced phase transformations are two typical behaviors of shape memory alloys. Changing the stiffness associated with phase tran...

متن کامل

Remarks on the Existence for the One{dimensional Fr Emond Model of Shape Memory Alloys

Remarks on the existence for the one{dimensional Fr emond model of shape memory alloys Abstract. In this paper we outline a rigorous proof of the existence of solutions to one{dimensional initial{boundary value problems for the general and complete version of the Fr emond thermo{ mechanical model applying to shape memory alloys.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007