A Boundary Element Method for Two-Dimensional Contact Problems
This book is an attempt to demonstrate the power and versatility of Boundary Element Method (BEM) in solving the complicated contact problem. The basic concepts of contact are explained followed by the derivation of analytical and numerical boundary element formulation for two-dimensional elastic contact problems. The formulation is intended for a general case of contact, so that all different geometries in contact with different frictional conditions can be analyzed. The temperature changes and body forces are also included in the formulations.
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THE CONTACT PROBLEM
FORMULATION OF THE BOUNDARY ELEMENT METHOD
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analytical solutions applied load area of contact assumed blade root bodies in contact body force boundary conditions Boundary Element Method Boundary Integral Equation Brebbia C.A. Brebbia calculated Cauchy principal value circumferential stress coefficient of friction connecting rod constrained contact area contact conditions contact region contact stress contact surface coordinates Coulomb slip deformed different values disk Elastic Contact Problems elastic foundation Elastostatics engineering equa equivalent stress external load finite element method formulation Frictionless Contact Gaussian quadrature geometry Hence Hertz Hertzian contact Hooke's law increase Integral Equation Method interface interior point Karami Lachat linear matrix maximum Mech ments nodal node nodepair normal stress normal tractions numerical plane strain plane stress Poisson's ratio punch quadratic elements roller rotor steeple shape functions shear stress shown in Fig solved Stress Analysis stresses and displacements tact tion tractions and displacements two-dimensional Variation vector Young's modulus zero