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Showing 1 to 4 of 4 for “"Integral transform techniques"”.
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Boundary Value Problems in Elasticity and Thermoelasticity
… in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or …
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Boundary Value Problems in Rectilinearly Anisotropic Thermoelastic Solids
… in turn, are expressed in terms of Fourier type integrals or Fourier series. Integral transform techniques are then used to determine the stress intensity factors (and other pertinent information) for various crack geometries. In certain cases the possibility of partial contact, of the crack …
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A Technique for Solving the Singular Integral Equations of Potential Theory
<p>The singular integral equations of Potential Theory are investigated using ideas from both classical and contemporary mathematics. The goal of this semi-analytic approach is to produce numerical schemes that are both general and computationally simple. Previous works based on classical methods …
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Analytical solutions for temperature profile prediction in multi-layered pavement systems
… of separation of variables and the Laplace transforms. The derived theoretical solutions consider the pavement geometries, material thermal properties, solar radiation, and air temperature. Field validation justified that these analytical solutions generate reasonable temperature profiles in …