Theory of Elasticity

Lurie, A. I.; Belyaev, Аlexander K.

doi:10.1007/978-3-540-26455-2

Cited by 361 publications

(165 citation statements)

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“…Actually, σVM is directly related to the stress deviator, sij = σij − Σσii/3 through σVM = (1.5sij·sij) 0.5 , which is responsible for the change of shape of materials [9]. On the other hand, the hydraulic stress Σσii/3 is responsible for the change of volume.…”

Section: Mechanoluminescence As a Visulization Of Stress Fieldsmentioning

confidence: 99%

Mechanoluminescent Materials: A New Way to Analyze Stress by Light

Feng

Michels

Lamberti

et al. 2018

The 18th International Conference on Experimental Mechanics

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Abstract:The monitoring of stress changes in structural components under various kinds of dynamical loading is crucial for the assessment of their integrity and lifetime. In addition to many methodologies available, such as strain gauges, optical fiber sensors, X-Ray diffraction and digital image correlation, we introduce a novel non-contact method to visualize stress distributions based on mechanoluminescence (ML). ML is a phenomenon occurring in some materials that emit light upon an applied stress level. In this paper, we develop the ML material (Ca0.4Sr0.6)Al2Si2O8:1%Eu 2+ ,1%Ho 3+ , a glow-in-the-dark material, to visualize stress distribution in a disc, as well as the stress field of an ultrasonic transducer. The properties of defects in the ML phosphors, which are responsible for ML in this material, are vital for stress visualization.

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Section: Mechanoluminescence As a Visulization Of Stress Fieldsmentioning

confidence: 99%

Mechanoluminescent Materials: A New Way to Analyze Stress by Light

Feng

Michels

Lamberti

et al. 2018

The 18th International Conference on Experimental Mechanics

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“…To assess the stress state of the array under the influence of temperature field and external loads, you can use the equilibrium equations in displacements [8]: …”

Section: Solution Of the Problemmentioning

confidence: 99%

Thermal stress state of rock massif with a spherical cavity taking into account inhomogeneity of the medium

Frolova

Andreev

2016

MATEC Web Conf.

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Abstract. The case of continuous one-dimensional heterogeneity of deformation characteristics of a material of the pedigree array with the spherical cavity, received by means of explosion, are continuous functions of one of co-ordinates -radius is considered. Solution of an initial set of equations concerning displacements is sought in the form of decomposition in Fourier series in Legendre polynomials. Using the method of separation of variables, we can reduce the problem to a system of two ordinary differential equations with variable coefficients, which can be solved numerically. Stress analysis was performed in the homogeneous and inhomogeneous array surrounding the spherical cavity. A comparative analysis of the results is carried out.

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“…We employ throughout the Einstein's summation convention and the direct tensor notation in the sense of [26,27]. Greek indices range over the set {1, 2}, while Latin indices take the values {1, 2, 3}.…”

Section: Materials Independent Equationsmentioning

confidence: 99%