STRESS STATE OF AN ELASTIC PLANE WITH ONE OR MORE INCLUSIONS OF ARBITRARY SHAPE: THE CASE OF IDENTICAL SHEAR MODULI

Author(s):  
I. Ya. Tsurkis ◽  
Yu. O. Kuzmin
1982 ◽  
Vol 18 (5) ◽  
pp. 355-360
Author(s):  
I. M. Petukhov ◽  
V. V. Zubkov ◽  
I. A. Zubkova ◽  
A. M. Lin'kov ◽  
V. S. Sidorov

1963 ◽  
Vol 30 (2) ◽  
pp. 232-236 ◽  
Author(s):  
Fazil Erdogan

The problem of two semi-infinite elastic planes with different elastic properties bonded to each other along a finite number of straight-line segments and subjected to loads at infinity is formulated and the solution of the problem is reduced to the evaluation of ordinary integrals. The solutions for the cases with one and two bonding segments are given. For the general case, the stress state near the crack tips is analyzed and it is shown that the stress singularity is in the form of r−1/2, r being the distance from the crack tip. Finally, the stress-intensity factors, which are used in the fracture mechanics and which can be taken as the measure of the strength of stress singularities, are expressed in terms of the complex stress function.


2012 ◽  
Vol 49 (8) ◽  
pp. 986-993 ◽  
Author(s):  
Q. Li ◽  
C.W.W. Ng ◽  
G.B. Liu

Although a large number of tunnels and deep excavations have been constructed in Shanghai, small-strain stiffness properties of natural Shanghai clay have rarely been reported in the literature. In this study, the degree of inherent stiffness anisotropy of natural Shanghai clay was investigated in a triaxial apparatus equipped with local strain transducers and a shear-wave velocity measurement system. Three sets of side-mounted bender elements, consisting of one transmitter and two receivers each, were installed on a prismatic specimen. Two series of triaxial tests on prismatic specimens of intact Shanghai clay were carried out under an isotropic stress state. Shear-wave velocities and hence elastic shear moduli in different planes were determined from bender element measurements. The cross-correlation method using two received signals gives rise to the most objective and repeatable results on shear-wave velocities in comparison with other commonly used methods. Intact Shanghai clay clearly exhibits inherent stiffness anisotropy in terms of its elastic shear modulus ratio (G0(hh)/G0(hv)) of about 1.2 for a mean effective stress varying from 50 to 400 kPa. The measured higher stiffness in the horizontal plane may be attributed to the stronger layering structure in the horizontal bedding plane. A unique relationship is found that relates the normalized shear moduli to the stress state in each plane by incorporating a void ratio function in the form of F(e) = e–2.6.


2015 ◽  
Vol 31 (1) ◽  
pp. 20-30 ◽  
Author(s):  
William S. Helton ◽  
Katharina Näswall

Conscious appraisals of stress, or stress states, are an important aspect of human performance. This article presents evidence supporting the validity and measurement characteristics of a short multidimensional self-report measure of stress state, the Short Stress State Questionnaire (SSSQ; Helton, 2004 ). The SSSQ measures task engagement, distress, and worry. A confirmatory factor analysis of the SSSQ using data pooled from multiple samples suggests the SSSQ does have a three factor structure and post-task changes are not due to changes in factor structure, but to mean level changes (state changes). In addition, the SSSQ demonstrates sensitivity to task stressors in line with hypotheses. Different task conditions elicited unique patterns of stress state on the three factors of the SSSQ in line with prior predictions. The 24-item SSSQ is a valid measure of stress state which may be useful to researchers interested in conscious appraisals of task-related stress.


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