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Prof. Suvranu De Linear shape functions in 1D Quadratic ...
homepages.rpi.eduN N (x) N (x) Vector of nodal displacements ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ = 2x 1x d d d (1) NOTES: PROPERTIES OF THE SHAPE FUNCTIONS 1. Kronecker delta property: The shape function at any node has a value of 1 at that node and a value of zero at ALL other nodes. x1 x2 x El #1 2 1 2 1 x x - x N (x) − = 2 1 1 2 x x - x N (x) − = 1 1 0 x x x -x and ...
Chapter 13 Maxwell’s Equations and Electromagnetic Waves
web.mit.edud d d dt d d d dt µε ⋅= Φ ⋅=− ⋅= Φ ⋅= ∫∫ ∫ ∫∫ ∫ EA Es BA Bs GG GG GG GG w v w v (13.3.2) An important consequence of Maxwell’s equations, as we shall see below, is the prediction of the existence of electromagnetic waves that travel with speed of light c=1/ µ0ε0. The reason is due to the fact that a changing ...