Effects of tire – pavement contact pressure distributions on the response of asphalt concrete pavements

Yue, Z.Q.; Svec, Otto J.

doi:10.1139/l95-103

Cited by 30 publications

(22 citation statements)

References 4 publications

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“…In 1995, he eventually made breakthroughs and gave rigorous mathematical answers to the questions raised by the committee. Subsequently, he published his findings in Journal of Elasticity, Journal of Engineering Science, Quarterly Journal of Mechanics and Applied Mathematics, Journal of Engineering Mechanics and International Journal Solids and Structure [11][12][13][14][15][16][17], etc.…”

Section: 2 Ten Years Effort and Resultsmentioning

confidence: 99%

“…From 1984 to present, the author has examined the threedimensional boundary-value problems of the classical elasticity in nonhomogeneous and transversely isotropic solid [5,6,[11][12][13][14][15][16][17]19,20,[77][78][79][80][81]. The solid occupies a threedimensional space of an infinite lateral extent ð -1 < x, y < þ 1Þ and a finite thickness a£z£bÞ, a semiinfinite a£z < þ 1Þ, and/or an infinite extent ð -1 < z < þ 1Þ.…”

Section: The Author's Workmentioning

confidence: 99%

“…On the basis of the classical Fourier integral transforms, the author [5,6,[11][12][13][14][15][16][17] developed a matrix approach to solve the set of 15 linear partial differential Eqs. (2) -(6) and derived a general solution in symmetric matrix form.…”

Section: Generalmentioning

confidence: 99%

“…Yue [5,6,[11][12][13][14][15][16][17] has shown that the above five sets of vectors for the 15 field variables in the physical domain can be represented by two unknown vectors wð, η, zÞ and Y z ð, η, zÞ in the transform domain for all the boundaryvalue problems of a solid occupying the layer region of -1 < x, y < þ 1 and a£z£b. In particular, the solution representation can be expressed as follows in the Cartesian coordinate system, uðx, y, zÞ ¼ 1…”

Section: The Matrix Solution Representationmentioning

confidence: 99%

“…Yue [11,13,14] has developed a backward transfer matrix method to obtain analytical solutions for elastic problems in the isotropic n-layered system. Details are respectively given in the following two sections for the solutions of VðzÞ and UðzÞ with transversely isotropic n-layered solids.…”

Section: The Backward Transfer Matrix Treatmentmentioning

confidence: 99%

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Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation

Yue

2015

Front. Struct. Civ. Eng.

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This paper presents the exact and complete fundamental singular solutions for the boundary value problem of a n-layered elastic solid of either transverse isotropy or isotropy subject to body force vector at the interior of the solid. The layer number n is an arbitrary nonnegative integer. The mathematical theory of linear elasticity is one of the most classical field theories in mechanics and physics. It was developed and established by many well-known scientists and mathematicians over 200 years from 1638 to 1838. For more than 150 years from 1838 to present, one of the remaining key tasks in classical elasticity has been the mathematical derivation and formulation of exact solutions for various boundary value problems of interesting in science and engineering. However, exact solutions and/or fundamental singular solutions in closed form are still very limited in literature. The boundary-value problems of classical elasticity in n-layered and graded solids are also one of the classical problems challenging many researchers. Since 1984, the author has analytically and rigorously examined the solutions of such classical problems using the classical mathematical tools such as Fourier integral transforms. In particular, he has derived the exact and complete fundamental singular solutions for elasticity of either isotropic or transversely isotropic layered solids subject to concentrated loadings. The solutions in nlayered or graded solids can be calculated with any controlled accuracy in association with classical numerical integration techniques. Findings of this solution formulation are further used in the companion paper for mathematical verification of the solutions and further applications for exact and complete solutions of other problems in elasticity, elastodynamics, poroelasticty and thermoelasticity. The mathematical formulations and solutions have been named by other researchers as Yue's approach, Yue's treatment, Yue's method and Yue's solution.

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Section: 2 Ten Years Effort and Resultsmentioning

confidence: 99%

Section: The Author's Workmentioning

confidence: 99%

Section: Generalmentioning

confidence: 99%

Section: The Matrix Solution Representationmentioning

confidence: 99%

Section: The Backward Transfer Matrix Treatmentmentioning

confidence: 99%

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Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation

Yue

2015

Front. Struct. Civ. Eng.

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Layered elastic model for analysis of Cone Penetration Testing

Yue¹,

Yin

1999

Int. J. Numer. Anal. Meth. Geomech.

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A layered elastic model is adopted in the paper for the analysis of soil layering e!ects on the results of Cone Penetration Testing (CPT). Analytical solutions associated with the layered elastic CPT model and obtained via numerically integrating the fundamental singular solution for layered elastic solids due to the action of a body force concentrated on a circular ring. The soil layering e!ects on the CPT tip and friction resistance are examined in detail using the layered elastic CPT model. These examinations include parametric studies, in#uence of soil compressibility, comparisons with theoretical results given in the literature, veri"cation with experimental data and simulation of "eld trial results. The examinations lead to the conclusions that the layered elastic CPT model can be used to analyse soil layering e!ects on CPT results and to estimate relative shear modulus strength of soil layers.

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Elastic fields in two joined transversely isotropic media of infinite extent as a result of rectangular loading

Xiao

Yue

2011

Num Anal Meth Geomechanics

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SUMMARYThis paper presents the closed-form solutions for the elastic fields in two bonded rocks induced by rectangular loadings. Each of the two bonded rocks behaves as a transversely isotropic linear elastic solid of semiinfinite extent. They are completely bonded together at a horizontal surface. The rectangular loadings are body forces along either vertical or horizontal directions and are uniformly applied on a rectangular area. The rectangular area is embedded in the two bonded rocks and is parallel to the horizontal interface. The classical integral transforms are used in the solution formulation, and the elastic solutions are expressed in the forms of elementary harmonic functions for the rectangular loadings. The stresses and displacements in the rocks induced by both the horizontal and vertical body forces are also presented. The numerical results illustrate the important effect of the anisotropic bimaterial properties on the stress and displacement fields. The solutions can be easily implemented for numerical calculations and applied to problems encountered in rock mechanics and engineering.

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Effects of tire – pavement contact pressure distributions on the response of asphalt concrete pavements

Cited by 30 publications

References 4 publications

Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation

Yue’s solution of classical elasticity in n-layered solids: Part 1, mathematical formulation

Layered elastic model for analysis of Cone Penetration Testing

Elastic fields in two joined transversely isotropic media of infinite extent as a result of rectangular loading

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