Analytical solution and coupling resonance mechanism of interface delamination of composite laminates excited by ultrasonic shear horizontal waves

2021 ◽  
Vol 276 ◽  
pp. 114583
Author(s):  
Feng Guo ◽  
Jiu Hui Wu
Keyword(s):  
Analytical Solution ◽  
Composite Laminates ◽  
Resonance Mechanism ◽  
Interface Delamination ◽  
Ultrasonic Shear ◽  
Shear Horizontal

Measurement of the viscosity–density product using multiple reflections of ultrasonic shear horizontal waves

Ultrasonics ◽  
2006 ◽  
Vol 44 ◽  
pp. e1031-e1036 ◽  
Author(s):  
Margaret S. Greenwood ◽  
Justus D. Adamson ◽  
Leonard J. Bond
Keyword(s):  
Multiple Reflections ◽  
Ultrasonic Shear ◽  
Shear Horizontal

scholarly journals An Improved Analytical Solution for Process-Induced Residual Stresses and Deformations in Flat Composite Laminates Considering Thermo-Viscoelastic Effects

Materials ◽  
2018 ◽  
Vol 11 (12) ◽  
pp. 2506 ◽  
Author(s):  
Chao Liu ◽  
Yaoyao Shi
Keyword(s):  
Differential Equation ◽  
Finite Element ◽  
Analytical Solution ◽  
Residual Stresses ◽  
Composite Laminates ◽  
Composite Structures ◽  
Numerical Models ◽  
Element Analysis ◽  
Current Time ◽  
Viscoelastic Effects

Dimensional control can be a major concern in the processing of composite structures. Compared to numerical models based on finite element methods, the analytical method can provide a faster prediction of process-induced residual stresses and deformations with a certain level of accuracy. It can explain the underlying mechanisms. In this paper, an improved analytical solution is proposed to consider thermo-viscoelastic effects on residual stresses and deformations of flat composite laminates during curing. First, an incremental differential equation is derived to describe the viscoelastic behavior of composite materials during curing. Afterward, the analytical solution is developed to solve the differential equation by assuming the solution at the current time, which is a linear combination of the corresponding Laplace equation solutions of all time. Moreover, the analytical solution is extended to investigate cure behavior of multilayer composite laminates during manufacturing. Good agreement between the analytical solution results and the experimental and finite element analysis (FEA) results validates the accuracy and effectiveness of the proposed method. Furthermore, the mechanism generating residual stresses and deformations for unsymmetrical composite laminates is investigated based on the proposed analytical solution.

The use of ‘C’-shaped specimens to investigate the interlaminar fracture of woven composite laminates

1995 ◽  
Vol 30 (2) ◽  
pp. 129-134 ◽  
Author(s):  
G Hognestad ◽  
D A Hills
Keyword(s):  
Stress Distribution ◽  
Analytical Solution ◽  
Composite Laminates ◽  
Epoxy Composite ◽  
Woven Composite ◽  
Interlaminar Fracture ◽  
Profound Influence ◽  
Woven Composite Laminates

‘C’-shaped test specimens have been used to find the interlaminar strength of woven carbon/epoxy composite laminates in tension and in combined tension with minor transverse tractions. An analytical solution for the stress distribution within the “C” specimen, of arbitrary lay-up, is developed to permit a rigorous interpretation of the results, which confirm that the presence of relatively minor through-thickness stresses will have a profound influence on the strength of the component.

Analytical Solution for Shear Horizontal Wave Propagation in Piezoelectric Coupled Media by Interdigital Transducer

2004 ◽  
Vol 72 (3) ◽  
pp. 341-350 ◽  
Author(s):  
Q. Wang ◽  
S. T. Quek ◽  
V. K. Varadan
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Theoretical Research ◽  
Piezoelectric Medium ◽  
Infinite Length ◽  
Shear Horizontal Wave ◽  
Piezoelectric Effects ◽  
Horizontal Wave ◽  
Interdigital Transducer ◽  
Shear Horizontal

An analytical solution for the shear horizontal wave propagation excited by interdigital transducer in a piezoelectric coupled semi-infinite medium is developed. This solution is an extension of earlier work on wave propagation in a piezoelectric coupled plate with finitely long interdigital transducer by fully taking account of piezoelectric effects in analysis. In the current analysis, the mathematical model for a semi-infinite metal substrate bonded by a layer of interdigital transducer with infinite length is first derived. The theoretical solutions are obtained in terms of elliptic integration of the first kind and of the standard integral representation for Legendre polynomial. The essential hypothesis for the derivation of the analysis is investigated. Based on the solution for infinitely long interdigital transducer, an analytical solution for the wave propagation in this semi-infinite piezoelectric medium excited by a finitely long interdigital transducer is obtained through Fourier transform. This theoretical research can be applied to health monitoring of structures by interdigital transducer. It could also be used as a framework for the design of interdigital transducer in wave excitation of smart structures.

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