Thermally Induced Stress Waves in a Laminated Composite

1972 ◽  
Vol 39 (1) ◽  
pp. 103-107
Author(s):  
C. Sve
Keyword(s):  
Temperature Distribution ◽  
Half Plane ◽  
Continuum Theory ◽  
Laminated Composite ◽  
Stress Waves ◽  
Internal Heating ◽  
Thermally Induced ◽  
Electromagnetic Absorption ◽  
Induced Stress ◽  
Dispersive Model

A solution is presented for the response of a periodically laminated elastic half plane subjected to rapid internal heating. The assumed temperature distribution has been used in previous investigations of electromagnetic absorption problems where thermal diffusion may be neglected. The laminations are perpendicular to the free surface of the half plane, and the incident flux is absorbed in each layer according to an exponential decay with depth. Since heal conduction is neglected on this time scale, the temperature distribution is discontinuous at the lamination interfaces. A microstructured continuum theory provides the dispersive model, and a solution is obtained for the composite stress in the far field. Limiting forms of the solution are included for the cases when the radiation is absorbed in the alternate layers only or when dispersion can be neglected. Several numerical examples are presented to illustrate the effect of dispersion.

Thermally Induced Stress Waves in an Elastic Layer

1973 ◽  
Vol 40 (1) ◽  
pp. 161-167 ◽  
Author(s):  
C. Sve ◽  
J. Miklowitz
Keyword(s):  
Elastic Layer ◽  
Formal Solution ◽  
Hankel Transform ◽  
Heating Time ◽  
Stress Waves ◽  
Radial Coordinate ◽  
Stress Distributions ◽  
Dynamic Effects ◽  
Thermally Induced ◽  
Induced Stress

A solution is presented for the stress-wave response of a partially transparent infinite elastic layer subjected to electromagnetic radiation. The radiation is assumed to be deposited with a radial Gaussian distribution in a time short compared with thermal diffusion times. The development is based on the equations of uncoupled dynamic thermoelasticity with heat conduction neglected. Laplace and Hankel transform techniques provide the formal solution and numerical integration of the resulting expressions yields the time-dependent stress distributions in the layer. Several examples are included that illustrate the significance of the dynamic effects and their dependence on the radial coordinate and heating time.

A Continuum Theory for Wave Propagation in Laminated Composites—Case 1: Propagation Normal to the Laminates

1973 ◽  
Vol 40 (2) ◽  
pp. 503-510 ◽  
Author(s):  
G. A. Hegemier ◽  
Adnan H. Nayfeh
Keyword(s):  
Wave Propagation ◽  
Continuum Theory ◽  
Laminated Composite ◽  
Velocity Spectrum ◽  
Model Accuracy ◽  
Standard Mixture ◽  
Exact Data ◽  
Dispersive Model ◽  
Estimate System ◽  
Hierarchy Of Models

A continuum theory is developed for wave propagation normal to the layers of a laminated composite with elastic, periodic, microstructure. Construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models are defined by the order of truncation of the asymptotic sequence obtained. To estimate system accuracy, the phase velocity spectrum is investigated. Retention of all terms in the asymptotic sequence is found to yield the exact spectrum of Rytov. Based upon spectral collation of the lowest-order dispersive model, accuracy superior to several existing theories is observed. In addition, treatment of transient pulse cases show good correlation with exact data. Finally, the lowest-order dispersive theory is cast in a standard mixture form.

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