Journal ArticleDOI
The General Theory of Stresses and Displacements in Layered Systems. I
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In this article, a general theory of stresses and displacements in a two-layer system is developed in order to provide the engineer with a useful tool which is more directly applicable to the analysis of actual conditions encountered in soil deposits.Abstract:
The problems of airport and foundation engineering have become increasingly important in the war construction program. These problems frequently involve the consideration of stresses and settlements in layered soil deposits. The well‐known Boussinesq equations apply strictly only to homogeneous soil deposits. The general theory of stresses and displacements in a twolayer system is developed in order to provide the engineer with a useful tool which is more directly applicable to the analysis of actual conditions encountered in soil deposits. The basic equations of stresses and settlements are derived. The numerical evaluation of the surface settlement equation for the simplest case of Poisson's ratio equal to one‐half has been completed as the first of a series, and is presented in the form of influence curves for the analysis of practical problems.read more
Citations
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Journal ArticleDOI
Elastic analysis of some punch problems for a layered medium
TL;DR: In this article, the problem of flat-ended cylindrical, quadrilateral, and triangular punches indenting a layered isotropic elastic half-space is considered, and solutions are obtained numerically.
Journal ArticleDOI
A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses
TL;DR: In this article, Discrete convolution and FFT (DC-FFT) is adopted instead of the method of continuous convolutions and Fourier transform for the contact problems.
Journal ArticleDOI
Quantitative analysis of the viscoelastic properties of thin regions of fibroblasts using atomic force microscopy.
TL;DR: This AFM-based microrheology allows us to correlate two key parameters of cell motility by relating elastic strength and the Poisson ratio to the adhesive state of a cell, and allows for the decomposition of the elastic modulus into loss and storage modulus.
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Studying Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm
Shuangbiao Liu,Qian Wang +1 more
TL;DR: In this article, the DC-FFT algorithm was used to analyze the contact stresses in an elastic body under pressure and shear tractions for high efficiency and accuracy, and a set of general formulas of the frequency response function for the elastic field was derived and verified.
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Traffic-Load-Induced Permanent Deformation of Road on Soft Subsoil
Jinchun Chai,Norihiko Miura +1 more
TL;DR: In this article, a method for predicting the traffic-load-induced settlement of road on soft subsoil with a low embankment is proposed, where the multilayer elastic theory is used to calculate the dynamic stress in sub-soil and the plastic vertical strain is calculated by an empirical equation, in which constants are related to the physical and mechanical properties of sub-surface.
References
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Book
A treatise on the mathematical theory of elasticity
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
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Effect of Certain Discontinuities on the Pressure Distribution in a Loaded Soil
TL;DR: In this paper, the authors investigated the effect of the presence at the depth h of a slippery rigid bed, a perfectly rough rigid bed and a perfectly flexible but inextensible thin layer embedded in the material.
Journal ArticleDOI
Spannungsverteilung und Wellenausbreitung in der kontinuierlich gestützten Platte
TL;DR: The Einfuhrung einer der Bipotentialgleichung genugenden „Verschiebungsfunktion“ gestattet ebene and achsensymmetrische Probleme in genau analoger Weise zu behandeln as mentioned in this paper.