The term “Finite Element”, according to Bathe [8], was first introduced by Clough [9]. The
method consists of discretization of the continuum into small elements that intersect at their nodes (Figure 3). The
method relies on the assumption that, through appropriately chosen interpolation functions, displacements at any
point within the element can be accurately obtained from the displacements of the nodes. The method is based on the
principle of virtual displacements, which states that, for a body in equilibrium, any compatible (i.e., satisfies
boundary conditions) small virtual displacements applied to the body, the total internal work associated with the
virtual displacement field must be equal to the total virtual external work.
The term “Finite Element”, according to Bathe [8], was first introduced by Clough [9]. Themethod consists of discretization of the continuum into small elements that intersect at their nodes (Figure 3). Themethod relies on the assumption that, through appropriately chosen interpolation functions, displacements at anypoint within the element can be accurately obtained from the displacements of the nodes. The method is based on theprinciple of virtual displacements, which states that, for a body in equilibrium, any compatible (i.e., satisfiesboundary conditions) small virtual displacements applied to the body, the total internal work associated with thevirtual displacement field must be equal to the total virtual external work.
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