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

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.


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.


2011 ◽  
Vol 148-149 ◽  
pp. 875-878
Author(s):  
Bo Zhou ◽  
Jun Lv ◽  
Gang Ling Hou ◽  
Ya Ru Pan

In this paper, the phase transformation behaviors of shape memory alloy (SMA) in the complex stress state are formulated based the one-dimensional phase transformation model supposed by Zhou and Yoon. The stress field near the crack tip of mode II in SMA is described based on linear elastic fracture mechanics. The phase transformation behaviors of SMA near the crack tip of Mode II are numerically investigated.


2012 ◽  
Vol 457-458 ◽  
pp. 994-997
Author(s):  
Bo Zhou ◽  
Xu Kun Li ◽  
Gang Ling Hou

This paper focuses on the thermo-mechanical behaviors of a shape memory alloy (SMA) plate with a circular hole under biaxial uneven tension. The phase transformation behaviors of SMA under complex stress state are formulated based on the one-dimensional phase transformation model developed by Zhou and Yoon. The stress field equation of the SMA plate with a circular hole is derived according to linear elastic mechanics. The phase transformation behaviors near the region around the circular hole are numerically simulated under different conditions of applied stress.


2012 ◽  
Vol 457-458 ◽  
pp. 511-514
Author(s):  
Bo Zhou ◽  
Xu Kun Li ◽  
Bin Hu

This paper focuses on the thermo-mechanical behaviors of shape memory alloy (SMA) elliptical cross-section rod subjected to torsion deformation. The stress solution in the elliptical cross-section is derived according to linear elastic mechanics. The phase transformation behaviors of the elliptical cross-section rod are described based on the phase transformation model developed by Zhou and Yoon. The phase transformation zone in the elliptical cross-section is numerically determined and discussed.


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.


Author(s):  
Theocharis Baxevanis ◽  
Yves Chemisky ◽  
Dimitris Lagoudas

Detailed finite-element calculations are carried out to examine the path-dependence of the J-integral in a pseudoelastic Shape Memory Alloy (SMA) for mode I loading under the approximation of linear kinematics. The evolution equation for the transformation strain is consistent with the classical rate-independent J2 flow theory. The small-scale nonlinearity assumption is employed using a boundary layer approach, wherein the actual boundary conditions have been replaced by the requirement of an asymptotic approach to the linear elastic inverse-square-root stress/strain distribution at large distances from the crack tip. The J-integral is found to be path-dependent inside the transformation zone, close to the crack tip.


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