not repeated in the same additive term where the index appears. Free means that the index represents all the values in its range Latin indices will range from 1 to, (i,j, k

Concept Question Consider the following simple displacement field

Which of the following expressions represents the rate of work done by the stresses during the deformation of a body of an arbitrary material?

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

Which of the following expressions most ac curately and simply represents the comple mentary strain energy density Uc of a linear elastic material?

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

美国麻省理工大学：《结构分析与设计技术》教学资源（讲义）notes121

The finite element melod I In FEM I We derived basis functions of arbitrary order for Hhe rod Model

The correct global local node mapping for the quadraticelement mesh in the figure is

Numerical integration Consider He 4-D integral =+(s 1 Seek n-point apploxiwisfions G~2M =1 are the weights and