Stress-induced rotation of polarization directions of elastic waves in slightly anisotropic materials

Iwashimizu, Yukio; Kubomura, Kenji

doi:10.1016/0020-7683(73)90035-8

Cited by 75 publications

(28 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Stress application introduces the anisotropy in ultrasonic velocities [7]. Normalized velocity difference of two shear waves polarized in the principal stress directions is related to the principal stress difference, (al -aJ, through 134 Hirao et at.…”

Section: Acoirstoelasticity Law For Shear Wavesmentioning

confidence: 99%

Resonance Acoustoelasticity Measurement of Stress in Thin Plates

Hirao

Fukuoka

Murakami

1992

Research in Nondestructive Evaluation

View full text Add to dashboard Cite

A computer-driven, swept-frequency measurement technique is developed on the basis of resonance birefringence acoustoelasticity to evaluate the stresses in thin plates. The resonance frequency depends on the thickness and the elastic wave velocity; they change with stress because of the Poisson effect and the acoustoelastic effect. The resonance frequency is obtained from the spectral response curve in the electric impedance of the piezoelectric transducer. The frequency displacement induced by acoustically coupling the transducer can be minimized by employing the resonance peak closest to the transducer fundamental frequency. To illustrate the method, the residual stress is measured in butt-welded aluminum alloy plates and is compared with the results of conventional methods.

show abstract

Section: Acoirstoelasticity Law For Shear Wavesmentioning

confidence: 99%

Resonance Acoustoelasticity Measurement of Stress in Thin Plates

Hirao

Fukuoka

Murakami

1992

Research in Nondestructive Evaluation

View full text Add to dashboard Cite

show abstract

“…This is the general situation. The separation of the 'texture induced' and the 'stress induced' anisotropy has been the central theme of ultrasonic measurements in most research of the last twenty years (Crecraft, 1967;Tokuoka and Saito, 1969;Iwashimizu and Kubomura, 1973;King and Fortunko, 1983;Pao and Gamer, 1983;Pao et aL, 1984;Pao, 1985;Pao et al, 1989). Here we attempt to demonstrate that the concept is useful in many situations even though we agree with Man and Lu (1987) that the separation cannot always be achieved.…”

Section: Introductionmentioning

confidence: 99%

Theory of incremental motion in a body with initial elasto-plastic deformation

1992

View full text Add to dashboard Cite

Zusanmtenfa~mng. Es wird eine Theorie der inkrementellen Deformation f'fir einen K6rper mit Vorspannung und Vorvefformung entwickelt, welche sowohl f'tir elastische wie plastische Vorverformung Giiltigkeit hat. Die fiberlagerte Bewegung wird als hyperelastisch angenommen. Wir leiten die Materialgleichung her, welche eine inkrementelle Spannung mit einer inkrementellen Verzerrung verknfipfl und geben die Impulsgleichung in einer auf die anf~ngliche Vefformung bezogenen Konfiguration. Diese Impulsgleichung wird be~glich des fiberlagerten Verschiebungsfeldes linearisiert. Ffir eine allgemeine nichtlineare Vorverformung kann die Materialtheorie eines anisotropen Ktrpers auf der Basis einer postulierten Verzerrungsenergie gegrfindet werden, welche eine isotrope Funktion des Greenschen Verzerrungstensors und einer Zahl matedeller Direktoren mit L/inge 1 darstellt. Ffir elasto-plastisch vorgespannte und vorverformte K6rper wird eine elastische Materialgleichung postuliert, die yon der plastischen Vorvefformung sowie der Deformation aus einer relaxierten Konfiguration abh~ngt. Es wird gezeigt, dab die Materialgleichung ffr den Spannungstensor eine isotrope Funktion ihrer Argumente sein mnfi, wenn man als fibergeordnetes Pdnzip das Objektivifiitsprinzip fordert und Invarianz des Spannungsfunktionals gegenfiber Rotationen der plastischen Vordeformation verlangt. Durch Einf'uhren yon materiellen Direktoren der Einheitslange als unabh~ngige Konstitutivvariablen erh~lt man hierans eine neue Theorie der Aknsteolastizit~t fiir elasto-plastisch vorvefformte Materialien mit anisotropen nafiirlichen Referenzznst/~nden. Almraet. A theory of incremental deformation is developed for a body with initial stress and strain, valid for elastic and plastic pre-deformation. The superimposed motion is assumed hyperelastic. We present the constitutive equation, relating a measure of incremental stress to incremental strain, and the momentum equations referred to the prestrained initial configuration of the body. The latter is lineafized with respect to the displacement field of the superimposed motion. For general nonlinear pre-deformation the constitutive theory of an anisotropic body may be based on the assumed strain energy that is an isotropic function of the Green strain tensor and a number of material directors of unit length. For bodies with elastoplastic prestrain and prestress, an elastic constitutive relation that depends on the plastic pre-deformation and the deformation from a relaxed state is postulated. Imposing the requirements of invariance with respect to rotations of the plastic pre-deformation and using the objectivity rule, we show that the constitutive function of stress must be an isotropic function of its arguments. This leads to a new theory of aconstoelasticity for an elasto-plastically prestrained material with anisotropic natural state by incorporating materially fixed unit directors as independent variables in the constitutive equations. 194P. Haupt et al.

show abstract

“…In Japan, the study of acoustoelasticity began with the work of Tokuoka and Iwashimizu [1] in 1968 who established the birefringent acoustoelasticity law for isotropic materials and was followed by important contributions. They include Iwashimizu and Kubomura [2] in 1973 for a birefringent acoustoelasticity law of slightly anisotropic materials, Iwashimizu and Kobori [3] in 1978 for the Rayleigh wave acoustoelasticity of homogeneously strained materials, Okada [4] in 1980 for the anisotropic birefringent acoustoelasticity using acoustical analogue of the optical refraction index tensor, and Hirao et al [5] in 1981 for a surface wave law of inhomogeneous stress state, and Kobayashi [6] in 1982 for the theory based on elastic-plastic deformation. The first experimental work was done by Torikai and Lee [7] in 1965 using an interference method, in 1974 Tsuchida and Okada [8] measured the welding stress by the pulse echo method and Fukuoka and Toda [9] in 1977 used the sing around method for acoustoelastic stress measurements.…”

mentioning

confidence: 99%

Development of Acoustoelasticity in Japan

Fukuoka

1992

Nondestructive Testing and Evaluation

View full text Add to dashboard Cite

Stress-induced rotation of polarization directions of elastic waves in slightly anisotropic materials

Cited by 75 publications

References 15 publications

Resonance Acoustoelasticity Measurement of Stress in Thin Plates

Resonance Acoustoelasticity Measurement of Stress in Thin Plates

Theory of incremental motion in a body with initial elasto-plastic deformation

Development of Acoustoelasticity in Japan

Contact Info

Product

Resources

About