Foundations of Experimental Mechanics: Principles of Modelling, Observation and Experimentation

Pindera, J. T.

doi:10.1007/978-3-7091-4344-5_4

Cited by 14 publications

(3 citation statements)

References 31 publications

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“…From (25c) one can see that the boundary condition (19) is automatically satisfied. By the use of (22a) and (22b), equation (20) can be rewritten as _ ---0 af-89 aZ az Substituting (26a) and (26b) into this equation, one can obtain similar forms of equation (1 3) for df/dz and a g / d z and verify that af/dz and a g / a z vanish outside the ellipse for z = 0. Hence boundary condition (20) is satisfied.…”

Section: Pmentioning

confidence: 99%

Influence of subsurface fractures on surface deformation of an elastic half‐space

Wang

Dusseault

Pindera

et al. 1994

Num Anal Meth Geomechanics

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SUMMARYThe paper presents a solution for calculation of the surface uplift field of a semi-infinite elastic solid embedded with a pressurized elliptical crack oriented at any angle, and at any depth. The results presented are those for a uniform pressure loading on the crack face, simulating a static pressurized hydraulic fracture, but the mathematical technique developed can be extended directly to non-uniform normal loads or general shear loads in the form of a polynomial up to the third order. The result of a special case of the new solution, where the crack is penny shaped and parallel to the free surface, is compared with results from Sun's solution and from experiments which were designed and performed by the authors. The experiments involved pressurization of a penny-shaped crack in a polyurethane material which is linear elastic under low stresses, and measurement of surface deformation by holographic interferometry and Fizeau interferometry. The correspondence between theory and experiment is excellent.

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Section: Pmentioning

confidence: 99%

Influence of subsurface fractures on surface deformation of an elastic half‐space

Wang

Dusseault

Pindera

et al. 1994

Num Anal Meth Geomechanics

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“…2 The selection of that framework influences the meaning of the collected data and the evaluation of the data. For example, the stress concentration factors determined by means of the transmission photoelasticity and evaluated by using the notion of a generalized plane stress state give information on the averaged stress values, not on the actual maximal stress values, which are of interest to the designer.…”

Section: J T Pindera Is Professor Emeritusmentioning

confidence: 99%

Electronic techniques in isodyne stress analysis: Part 1. Basic relations

Pindera

Josepson

Javanović

1997

Experimental Mechanics

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ABSTRACT--The purpose of the study was to develop electronic techniques for collecting, processing and evaluating information in experimental isodyne stress analysis. The original technique involved chemical photography recording and manual evaluation of the normal and shear isodyne functions and their derivatives, which are proportional to the stress components. One objective of the reported study was to show that it is feasible to reliably reconstruct isodyne surfaces which contain information on the internal force intensities and the components of the stress tensor. It is shown that the new technique satisfies all the theoretical conditions and constraints imposed by the theory of the analytical and optical isodynes. Thus another objective of the reported study was to demonstrate that the isodyne stress analysis allows one to obtain reliable data on the actual three-dimensional stresses in a cost-effective manner. The procedure developed to date and presented in the paper is a hybrid electronic-manual procedure. It involves electronic recording of the isodyne fields, manual determination of the isodyne orders in chosen sections, and electronic determination of the indicated and loadinduced isodyne functions and of the isodyne surfaces. It is shown that the developed techniques are more reliable, accurate and cost-efficient than the traditional techniques of photomechanics. Pertinent data are illustrated by examples presented in Part 2.

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“…The stress state is an invariant with respect to the geometric scale, which simplifies the model similarity relations. Thus, such models can be used to test directly the predictions of analytical and numerical solutions and procedures that are based on the same physical geometry and mechanical behaviour constraints (Pindera 1981). Two laboratory-scale models were constructed: one has a cylindrical shape and dimensions 100 (diameter) X 100 mm (depth) for pilot testing, and the other has a 300 mm cubical shape and was used for the larger scale experiments as the iconic model (Fig.…”

Section: Model Designmentioning

confidence: 99%

Experiments on surface deformation arising from a subsurface fracture

Wang¹,

Dusseault²,

Pindera³

1995

Can. Geotech. J.

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Laboratory model simulation of large-scale earth processes is rarely undertaken because of scale effects, nonlinearity, and questions of representativeness with respect to the real case. Hydraulic fractures generate distortion fields that can be measured with high precision both in the laboratory and in the field. A combination of field and laboratory data allows us to test our ability to measure displacements, make forward predictions, and invert real measurements; thus it is important to have some means of simulation, other than purely numerical simulation. This paper contains the results of a set of experiments on the surface deformation arising from a pressurized fracture, using laser holography and Fizeau interferometry of noncontacting techniques to precisely sample the displacement field above a scale model. The results are remarkably accurate and consistent, and compare reasonably well with analytical and numerical model predictions. The techniques have potential applications in geomechanics and geotechnical engineering for laboratory study of various linear and nonlinear problems. RCsumC : La simulation en laboratoire des processus terrestres de grande dimension est rarement entreprise 8 cause des effets d'Cchelle, de non-1inCaritC et des questions de reprCsentativitC vis-8-vis des cas rCels. Les fractures hydrauliques sont 8 l ' o t i h e de champs de distorsions qui peuvent &tre mesurCs avec une grande prCcision B la fois au laboratoire et en place. Une combinaison de ces deux types de rCsultats nous permet de vCrifier notre capacitC B mesurer des deplacements, 8 faire des prCvisions et 8 inverser des mesures rCelles. I1 est donc important d'avoir quelque moyen de simulation autre que purement numbrique. Cet article contient les rCsultats d'un ensemble d'experiences sur la dkformation de surface produite par une fracture mise en pression. On a utilisC l'holographie au laser et I'interfCromCtrie Fizeau comme techniques sans contact pour determiner prCcisCment le champ de dCplacement au-dessus d'un modble rCduit. Les rCsultats sont remarquablement precis et cohCrents et ils offrent une comparaison raisonnable avec les prCvisions analytiques et numCriques faites sur le modble. Ces techniques ont des applications potentielles en gComCcanique et en gkotechnique pour 1'Ctude en laboratoire de divers problbmes linCaires et non-1inCaires.Mots cle's : simulation en laboiatoire, holographie, interferomttrie Fizeau, hydro-fractures.[Traduit par la rCdaction]

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Foundations of Experimental Mechanics: Principles of Modelling, Observation and Experimentation

Cited by 14 publications

References 31 publications

Influence of subsurface fractures on surface deformation of an elastic half‐space

Influence of subsurface fractures on surface deformation of an elastic half‐space

Electronic techniques in isodyne stress analysis: Part 1. Basic relations

Experiments on surface deformation arising from a subsurface fracture

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