Absolute stress determination in orthotropic materials from angular dependences of ultrasonic velocities
作者:
A. D. Degtyar,
S. I. Rokhlin,
期刊:
Journal of Applied Physics
(AIP Available online 1995)
卷期:
Volume 78,
issue 3
页码: 1547-1556
ISSN:0021-8979
年代: 1995
DOI:10.1063/1.360248
出版商: AIP
数据来源: AIP
摘要:
In this paper we describe a method to determine absolute plane stresses in orthotropic materials from the angular dependence of ultrasonic velocities. No prior information on material anisotropy (texture) is required since the stress dependent elastic constants and stresses are found simultaneously from velocity data using least‐squares optimization. In the optimization algorithm no relation between the stress dependent elastic constants and stresses is assumed and therefore they are considered as uncoupled variables, but it is shown that the iteration process converges to the correct (coupled) values. The method is applicable for stress measurements in materials which have undergone a complicated (possibly plastic) history of loading and unloading; thus it can be used to determine both applied and residual stresses. To check the proposed technique we use synthetic sets of experimental data for different degrees of anisotropy and stress levels. Calculations using these synthetic data show that when the principal stress directions coincide with the symmetry axes the angular velocity data in the plane perpendicular to the stress plane may be used for reconstruction of both stress components. When the stress is off the symmetry axis, the shear and the difference of the normal stress components may be determined from the angular dependence of the velocities in the plane of stresses. In both cases the stress determination accuracy depends only on the accuracy of velocity measurements and is independent of stress level and material anisotropy. ©1995 American Institute of Physics.
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