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A platform for research: civil engineering, architecture and urbanism
Analysis of Stresses and Displacements in a Three-Layer Viscoelastic System
This report presents the analysis of a three-layer linear viscoelastic half-space under a uniformly distributed circular load. Such an analysis is an essential step in the development of a rational method of design for flexible pavements since such pavement systems respond in a markedly viscoelastic (time-dependent) fashion. The solution is obtained for the normal stress, radial stress, shear stress, vertical deflection, and radial displacement, at any point within the half-space. These solutions are obtained by replacing the elastic constants in the elastic solution by integral operators derived from the hereditary form of the linear viscoelastic constitutive equations. This substitution results in integral equations involving multiple convolution integrals of the time-dependent quantities. Two techniques are presented for evaluating these multiple convolution integrals, and then an associated technique is presented for numerical solution of the integral equations. Sample numerical results are presented. The techniques used in this analysis were selected for their ease of application and because they allow realistic representations of the viscoelastic behavior of real materials over broad time intervals. (BPR abstract)
Analysis of Stresses and Displacements in a Three-Layer Viscoelastic System
This report presents the analysis of a three-layer linear viscoelastic half-space under a uniformly distributed circular load. Such an analysis is an essential step in the development of a rational method of design for flexible pavements since such pavement systems respond in a markedly viscoelastic (time-dependent) fashion. The solution is obtained for the normal stress, radial stress, shear stress, vertical deflection, and radial displacement, at any point within the half-space. These solutions are obtained by replacing the elastic constants in the elastic solution by integral operators derived from the hereditary form of the linear viscoelastic constitutive equations. This substitution results in integral equations involving multiple convolution integrals of the time-dependent quantities. Two techniques are presented for evaluating these multiple convolution integrals, and then an associated technique is presented for numerical solution of the integral equations. Sample numerical results are presented. The techniques used in this analysis were selected for their ease of application and because they allow realistic representations of the viscoelastic behavior of real materials over broad time intervals. (BPR abstract)
Analysis of Stresses and Displacements in a Three-Layer Viscoelastic System
F. Moavenzadeh (author) / J. E. Ashton (author)
1967
182 pages
Report
No indication
English
Civil Engineering , Structural Mechanics , Roads , Viscoelasticity , Pavements , Stresses , Bituminous coatings , Shear stresses , Materials , Design , Compacting , Integral equations , Integral transforms , Poisson's ratio , Bessel functions , Difference equations , Civil engineering , Loading(Mechanics) , Deformation , Half-space(Mechanics)
Conditions of a jump of stresses and displacements on a thin viscoelastic inclusion
| British Library Online Contents | 2013
ANALYSIS OF STRESSES AND DISPLACEMENTS IN REINFORCED SOIL LAYER USING FEM
| British Library Conference Proceedings | 1998