Journal ArticleDOI
Dynamic stress concentration studies by boundary integrals and Laplace transform
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In this paper, the Laplace transform with respect to time is applied to the governing equations of motion and formulating and solving the problem numerically in the transfomed domain by the boundary integral equation method.Abstract:
The dynamic stress field and its concentrations around holes of arbitrary shape in infinitely extended bodies under plane stress or plane strain conditions are numerically determined. The material may be linear elastic or viscoelastic, while the dynamic load consists of plane compressional waves of harmonic or general transient nature. The method consists of applying the Laplace transform with respect to time to the governing equations of motion and formulating and solving the problem numerically in the transfomed domain by the boundary integral equation method. The stress field can then be obtaind by a numerical inversion of the trasformed solution. The correspondence principle is invoked for the case of viscoelastic material behavious. The method is simplified for the case of harmonic waves where no numerical inversion is involved.read more
Citations
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Vibration isolation using open or filled trenches
TL;DR: In this article, the problem of structural isolation from ground transmitted vibrations by open or infilled trenches under conditions of plane strain is numerically studied, where the soil medium is assumed to be linear elastic or viscoelastic, homogeneous and isotropic.
Journal ArticleDOI
Numerical operational methods for time‐dependent linear problems
G.V. Narayanan,Dimitri E. Beskos +1 more
Journal ArticleDOI
Dynamic response of 3‐D rigid surface foundations by time domain boundary element method
TL;DR: In this paper, the dynamic response of three-dimensional rigid surface foundations of arbitrary shape is numerically obtained by placing the foundations on a linear elastic, isotropic and homogeneous half-space representing the soil medium and are subjected to either external dynamic forces or seismic waves of various kinds and directions.
References
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Handbook of Mathematical Functions
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An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
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TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
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Theory of thermal stresses
TL;DR: Theory of thermal stresses, Theory of Thermal Stresses, this paper, Theory of thermal stress, and thermal stresses theory, thermal stresses and thermal stress theory in literature, 2015.