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ModelEqn1D - FINITE ELEMENT ANALYSIS OF A 1D MODEL PROBLEM...

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ModelEqn 1D - 1 JN Reddy FINITE ELEMENT ANALYSIS OF A 1D MODEL PROBLEM WITH A SINGLE VARIABLE Finite element model development of a linear 1D model differential equation involving a single dependent unknown (governing equations, FE model development weak form).
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ModelEqn 1D - 2 JN Reddy GOVERNING EQUATION GOVERNING EQUATION point boundary a at ) ( ) ( in ) ( ) ( ) ( P u u b dx du a L , x f u x c dx du x a dx d = + = = + 0 0 E, A b=k L u ( L ) u 0 P x, u a = EA k, A L u ( L ) u 0 P x, u a = kA Elastic deformation of a bar Heat transfer in a bar uninsulated bar
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0 = + f cu dx du a dx d
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