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Principle of Virtual Displacements Consider a body in equilibrium. We know that the stress field must satisfy the differential equations of equilibrium. Multiply the differential equations of equilibrium by an \arbitrary\displacement field T
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Unit #9 -Calculus of Variations Let u be the actual configuration of a structure or mechanical system. u satisfies the displacement boundary conditions: u=u* on Su. Define
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Which of the following expressions most ac curately and simply represents the comple mentary strain energy density Uc of a linear elastic material?
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Extend definition to material bodies: total work is the addition of the work done on all particles by forces distributed over the volume W by forces distributed over the surface t·udS
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Which of the following expressions represents the rate of work done by the stresses during the deformation of a body of an arbitrary material?
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properties of finite dement soltions Noded point equilibrio At a node, the sow of he elemeat nodal forces s in equilibriun with Hhe externed loads
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How many quadrature points do you need to integrate a polynomial of order p= 3 exactly using Gauss'method
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Concept Question How many quadrature points do you need to integrate exactly the stiffness matrix of a lD finite element with quadratic interpolation for the displacements? gauss
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The finite element method(I for three-diwnensional robles Potential enery applied to one eleet
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cmaulenon o isoparametRic elemets (Bathes book Consider the uadriltersd denat shown in the 8oc nodd coordinates
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