Dynamic point sources in laminated media via the thin-layer method |
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| Institution: | 1. Department of Mechanical Engineering, NIT, Jamshedpur, India;2. Department of Mechanical Engineering, NIT, Rourkela, India;3. School of Mechanical Engineering, VIT, Vellore, India;4. Department of Mechanical Engineering, Amrita College of Engineering and Technology, Nagercoil, Tamil Nadu, India;1. School of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, China;2. School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;3. MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, China;1. Departamento de Ingeniería Química, Universidad de Guadalajara, Guadalajara, Jalisco 44430, Mexico;2. Departamento de Química, Universidad de Guadalajara, Guadalajara, Jalisco 44430, Mexico;3. LBTS Research Group, Area of Condensed Matter Physics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain;4. Soft Matter and Molecular Biophysics Group, Department of Applied Physics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain |
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| Abstract: | This paper presents closed-form expressions for the Greens functions associated with harmonic point sources acting within horizontally layered media. These expressions are intended for use with the highly efficient Thin-Layer Method (TLM) described elsewhere, which is now being used widely for diverse engineering purposes. Among the dynamic sources considered are point forces, force dipoles (cracks and moments) , blast loads, seismic double couples with no net resultant, and bimoments (moment dipoles) . Comparisons with known analytical solutionsfor homogenous media demonstrate the accuracy of the formulation. However, the main field ofapplication is laminated media, for which no analytical solutions can be obtained. On the otherhand, it should be noted that the computational effort in this method does not depend on whetherthe system is layered. The resulting Greens functions could be used to efficiently model elasticwaves in complex media by means of the Boundary Integral Method. |
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