Study on Crack Tip Field of Mode I of Shape Memory Alloy in Plane Strain State

2012 ◽  
Vol 457-458 ◽  
pp. 744-747
Author(s):  
Bo Zhou ◽  
Yan Yan Hou ◽  
Jun Lv
2012 ◽  
Vol 457-458 ◽  
pp. 744-747
Author(s):  
Bo Zhou ◽  
Yan Yan Hou ◽  
Jun Lv

This paper focuses on the thermo-mechanical behaviors of a shape memory alloy (SMA) plate with a crack of mode I. A phase transformation equation is supposed to express the phase transformation behaviors of SMA under complex stress state. The stress field near the crack tip is described based on linear elastic mechanics. The martensitic phase transformation zones near the crack tip at various temperatures are numerically determined.


2011 ◽  
Vol 142 ◽  
pp. 138-141 ◽  
Author(s):  
Bo Zhou ◽  
Xiao Gang Guo ◽  
Gang Ling Hou ◽  
Xu Kun Li

In this paper a phase transformation equation is supposed to describe the phase transformation behaviors of the shape memory alloy (SMA) under complex stress state. The stress field near crack-tip of mode I in SMA at various temperatures is investigated based on the supposed phase transformation equation and linear elastic fracture mechanics. Results show both the martensite region and the mixed region of martensite and austenite near the crack-tip become larger with the decrease of temperature. The fracture mechanics behaviors of SMA are much influenced by the temperature.


2013 ◽  
Vol 663 ◽  
pp. 397-402
Author(s):  
Bo Zhou ◽  
Tai Yue Yin ◽  
Shi Feng Xue

This paper focuses on the thermo-mechanical behaviors of the shape memory alloy board with a crack and under the torsion load. A stress field equation from mechanics of elasticity is used to describe the stress distribution around the crack tip in the shape memory alloy board. A martensitic phase transition equation is supposed to predict the martensitic phase transition behaviors of the field near the crack tip in the shape memory alloy board. The martensitic phase transition zones near the crack tip in the shape memory alloy board under the torsion load are numerically described based on the stress field equation and martensitic phase transition equation at various temperatures. Results show that the stress field equation and martensitic phase transition equation can predict the thermo-mechanical behaviors of the shape memory alloy board with a crack and under the torsion load effectively.


2019 ◽  
Vol 24 (3) ◽  
pp. 549-576 ◽  
Author(s):  
M. Graba

Abstract The paper presents a comprehensive analysis of the stress field near a crack tip for a compact specimen dominated by the plane strain state using the finite element method. The analysis also includes the calculation of some parameters of in-plane constraints, both for small and large strain assumptions. It discusses the influence of the material characteristic, relative crack length and external load for the stress field, and the in-plane constraint parameter. The approximation formulas for some in-plane constraint parameters are presented.


Author(s):  
Behrouz Haghgouyan ◽  
Ibrahim Karaman ◽  
Sameer Jape ◽  
Alexandros Solomou ◽  
Dimitris C. Lagoudas

Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and crack growth under displacement boundary condition is investigated for plane strain and plane stress conditions. Parameters for the SMA material constitutive law implemented in the finite element setup are acquired from characterization tests conducted on near-equiatomic NiTi SMA. Virtual crack closure technique (VCCT) is implemented where crack is assumed to extend when the energy release rate at the crack-tip becomes equal to the experimentally obtained material-specific critical value. Load-displacement curves and mechanical fields near the crack-tip in plane strain and plane stress cases are examined. Moreover, a discussion with respect to the crack resistance R-curves calculated using the load-displacement response for plane strain and plane stress conditions is presented.


2020 ◽  
Vol 25 (1) ◽  
pp. 52-74 ◽  
Author(s):  
M. Graba

AbstractThe paper presents a comprehensive analysis of the stress field and selected triaxiality parameters near the crack tip for C(T) specimen dominated by the plane strain state using the finite element method. It includes some theoretical information about elastic-plastic fracture mechanics, the basics of the FEM modeling and presentation of the numerical results. The FEM analysis includes calculations with large strain assumptions. The influence of the external load and crack length is discussed. Additional elements of the paper are a qualitative assessment of the size of plastic zones and the crack tip opening displacement.


2013 ◽  
Vol 19 (8) ◽  
pp. 2300-2304
Author(s):  
Bo Zhou ◽  
Yanyan Hou ◽  
Bin Hu

2012 ◽  
Vol 457-458 ◽  
pp. 409-412
Author(s):  
Bo Zhou ◽  
Tai Yue Yin ◽  
Xu Kun Li

This paper focuses on the thermo-mechanical behaviors of shape memory alloy (SMA) board with a crack subjected to bending load. The stress field near the crack tip of SMA board is described according to the solution of linear elastic mechanics. The phase transformation behaviors of SMA board are formulated based on Zhou’s one-dimensional phase transformation model. The phase transformation zone equation is derived to describe the phase transformation zone near the crack tip.


2013 ◽  
Vol 357-360 ◽  
pp. 1437-1440
Author(s):  
Bo Zhou ◽  
Jun Lv ◽  
Dong Xue Wang

The methods to define the material parameters related to the super-elasticity of shape memory alloy in the software of ANSYS are introduced. The mechanical behaviors with super-elasticity occurring in the shape memory alloy are numerically simulated by the software ANSYS. The stress field near crack-tip of mode I in the material of shape memory alloy with super-elasticity are numerically simulated by the software ANSYS. Results of numerical simulation show that the software ANSYS is able to simulate the fracture behaviors occurring in the shape memory alloy structures effectively.


Sign in / Sign up

Export Citation Format

Share Document