“…These displacements are related to the strain through the strain-displacement matrix [B], and the strains are related to the stresses through the stress-strain matrix [D], so that (18) where [F,,] is the total element force vector, [K^] is the element stiffness matrix and {F'''| is the element thermal load vector. They are expressed as (19) The supporting temperature-dependent material properties were the Young's modulus, Poisson's ratio, coefficient of thermal expansion, and yield stress, whose values as used in the analysis are adapted from Smithells Metals Reference Book [29]. The applied structural boundary conditions were such that all the nodes on the sides of the base plate parallel to the direction of weld were constrained in all directions to simulate clamping effect on the substrate at that location.…”