Energy Release Rate of Piezoelectric Laminated Cylindrical Shell with Delamination under Circumferential Concentrated Load

2015 ◽  
Vol 4 (3) ◽  
Author(s):  
Yang Jinhua ◽  
Fan Wenliang
Keyword(s):  
Cylindrical Shell ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Moving Boundary ◽  
Mechanical Load ◽  
Concentrated Load ◽  
Laminated Shell ◽  
Delamination Growth ◽  
Griffith Criterion

AbstractThe delamination growth may occur in piezoelectric laminated shell with delamination under a combined electro-thermo-mechanical loading. Based on the piezoelectric theory, the variational principle of moving boundary and considering the contact effect between delamination regions, the nonlinear governing equations for the piezoelectric laminated shell with delamination under hygrothermal condition are derived, and the corresponding boundary and matching conditions are given as well. At the same time, according to the Griffith criterion, the formula of energy release rate along the delamination front is obtained and the delamination growth is studied. In the numerical calculation, the energy release rate and delamination growth of axisymmetrical piezoelectric cylindrical shell are analyzed, and a parametric study is conducted, showing the effects of geometric nonlinear, voltage, temperature and humidity, mechanical load, delamination length and depth, geometrical parameter and material property on energy release rate.

Delamination Growth of Piezoelectric Cylindrical Shell with Delamination under Hygrothermal Conditions

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Yang Jinhua ◽  
Fan Wenliang
Keyword(s):  
Cylindrical Shell ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Moving Boundary ◽  
Mechanical Load ◽  
Structural Failure ◽  
Delamination Growth ◽  
Griffith Criterion ◽  
Piezoelectric Shell

AbstractThe delamination growth may occur in delaminated piezoelectric shell subjected to external dynamic load and it will further cause structural failure. Based on the variational principle of moving boundary and considering the contact effect between delamination regions, in this paper, the nonlinear governing equations for the delaminated piezoelectric shell under hygrothermal condition are derived, and the corresponding boundary and matching conditions are given. At the same time, according to the Griffith criterion, the formulas of energy release rate along the delamination front are obtained and the delamination growth is studied. In the numerical calculation, the energy release rate and delamination growth of axisymmetrical piezoelectric cylindrical shell are analyzed, and the effects of geometric nonlinear, voltage, temperature and humidity, mechanical load, delamination length and depth, geometrical parameter and boundary condition on delamination growth are discussed.

Energy Release Rate of Delaminated Piezoelectric Shell Subjected to Electro-Thermo-Mechanical Loadings

2015 ◽  
Vol 751 ◽  
pp. 118-123
Author(s):  
Jin Hua Yang ◽  
Peng Jun Zhang ◽  
Chang Zhao Qian
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Moving Boundary ◽  
Mechanical Load ◽  
Structural Failure ◽  
Delamination Growth ◽  
Griffith Criterion ◽  
Delamination Front ◽  
Piezoelectric Shell

The delamination growth may occur in delaminated piezoelectric shell subjected to external load and it will further cause structural failure. Based on the variational principle of moving boundary and considering the contact effect between delamination regions, in this paper, the nonlinear governing equations for the delaminated piezoelectric shell under electro-thermo-mechanical loadings are derived, and the corresponding boundary and matching conditions are given. At the same time, according to the Griffith criterion, the formulas of energy release rate along the delamination front are obtained and the delamination growth is studied. In the numerical calculation, the energy release rate and delamination growth of axisymmetrical piezoelectric cylindrical shell are analyzed, and the effects of voltage, temperature and humidity, mechanical load, delamination length and depth on delamination growth are discussed.

Numerical Study on Adhesive Interface Reinforcement of Piezoelectric Composite under Impact Load

2011 ◽  
Vol 117-119 ◽  
pp. 849-857
Author(s):  
Rui Xiang Bai ◽  
Liang Wang
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mechanical Load ◽  
Impact Load ◽  
Numerical Study ◽  
Piezoelectric Composite ◽  
Interfacial Toughness ◽  
Pull Out ◽  
Fiber Bridging

The interfacial reinforcement with interlaminar chopped fibers of piezoelectric composite under impact electro-mechanical load was studied using nonlinear finite element method. A meso- mechanical model based on the main toughness reinforcement mechanism of single fiber bridging and pull out was adopted, and then a tri-linear bridging law was obtained, while the interface chopped fibers by defining nonlinear bidirectional spring elements between coincident nodes on the two crack surfaces within bridging zone and the energy release rate was calculated using the virtual crack closure technique. The numerical investigation indicates that the interlaminar chopped fiber can effectively reduce the crack tip energy release rate whether the applied voltage is positive or negative, which was an effective technique improve the interfacial toughness of the piezoelectric composite adhesive structure.

Sanders’ Energy-Release Rate Integral for a Circumferentially Cracked Cylindrical Shell

1983 ◽  
Vol 50 (2) ◽  
pp. 373-378 ◽  
Author(s):  
J. W. Nicholson ◽  
S. T. Weidman ◽  
J. G. Simmonds
Keyword(s):  
Stress Intensity Factor ◽  
Cylindrical Shell ◽  
Energy Release Rate ◽  
Energy Release ◽  
Integral Equations ◽  
Release Rate ◽  
Thin Shell ◽  
Combined Stress ◽  
Axial Tension ◽  
New Procedures

Analytical and numerical values for Sanders’ path-independent energy-release rate integral I and the combined stress-intensity factor are obtained for a circumferentially through-cracked cylindrical shell. Two types of loadings are considered. First, the shell is subject to axial tension and, second, the shell is subject to edge moments. New procedures for evaluating I from the governing integral equations are presented. In particular, for a very thin shell subject to edge moments, a method of evaluating I by circumventing the solution of the integral equations is shown.

Delamination Growth Behavior of a Fabric Reinforced Laminated Composite Under Mode I Fatigue

1999 ◽  
Vol 121 (3) ◽  
pp. 381-385 ◽  
Author(s):  
D. R. Atodaria ◽  
S. K. Putatunda ◽  
P. K. Mallick
Keyword(s):  
Growth Rate ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Laminated Composite ◽  
Strain Energy Release ◽  
Growth Behavior ◽  
Delamination Growth

The purpose of this study is to investigate the delamination growth behavior of a glass fabric reinforced laminated composite under Mode I fatigue loading and to examine the applicability of a new fatigue crack growth rate model to this material. In this study, double contilever beam specimens were subjected to tension-tension cyclic loads with three different load ratios and the delamination growth rate was measured using the compliance method. The delamination growth rate was related to the strain energy release rate during fatigue cycling by a power law equation that takes into account not only the effect of the strain energy release rate range, but also the effect of delamination growth at various stages of loading using a weight average strain energy release rate. It was observed that this new model can represent the delamination growth rate of the fabric reinforced laminated composite at three different load ratios in a single unifying curve.

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