Location

La Jolla, CA

Start Date

1-1-1993 12:00 AM

Description

Elastic nonlinearity is responsible for the deviation of a material’s stress-strain response from the linear relationship represented by Hooke’s law. This law can be written in its most general form as σij=Cijklεkl where σij and ɛkl are the stress and strain tensors respectively, and Cijkl is the tensor of the second order elastic constants. The nonlinear elastic behavior can be determined from measurements of the stress dependence of ultrasonic velocities as well as the distortion of ultrasonic waves by the generation of higher harmonics. Consequently, these effects can be used to nondestructively characterize a material’s elastic nonlinearity.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

12B

Chapter

Chapter 7: Nonlinearity, Deformation and Fracture

Section

Nonlinear Effects

Pages

2091-2097

DOI

10.1007/978-1-4615-2848-7_266

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

The Temperature Dependence of Third-Order Elastic Constants in Metal-Matrix Composites

La Jolla, CA

Elastic nonlinearity is responsible for the deviation of a material’s stress-strain response from the linear relationship represented by Hooke’s law. This law can be written in its most general form as σij=Cijklεkl where σij and ɛkl are the stress and strain tensors respectively, and Cijkl is the tensor of the second order elastic constants. The nonlinear elastic behavior can be determined from measurements of the stress dependence of ultrasonic velocities as well as the distortion of ultrasonic waves by the generation of higher harmonics. Consequently, these effects can be used to nondestructively characterize a material’s elastic nonlinearity.