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In this paper, we establish a new type of constraint preconditioner for solving symmetric, indefinite saddle point system arising from Maxwell equation in mixed form and study the spectral properties of the related preconditioned matrix. By comparing the performance of the constraint preconditioner presented in this paper and block diagonal preconditioner established in [1], we numerically verify...
The ball-on-ring (BOR) test is an effective technique used to characterize the biaxial fracture strength of brittle materials. In particular, damages induced by wafer backgrinding process can be evaluated using the BOR test. It is difficult to measure directly the radius of contact area between the loading ball and a specimen, which is needed for stress determination by an analytic solution. In this...
Stress induced parametric shifts caused by packaging are a major source of yield loss in precision devices. Package stress induced parameter shifts can be decomposed into two parts, a mean shifting component and a distribution broadening component. The mean shifting component is systematic and can be compensated in the circuit design phase or by laser-trimming thin film resistors if package stresses...
Residual stresses on a machined surface are one of the crucial factors in determining surface quality. Residual tensile stresses can be harmful for a machined workpiece, such as fatigue life, corrosion and wear resistance, whereas residual compressive stresses field is usually considered to have a positive influence on these aspects. In this paper, the Arbitrary-Lagrangian-Euler finite-element method...
For the purposes of investigating the free vibration response of the spatial curved beams, a set of deferential equations of motion are derived in matrix formats, considering the variable curvature and torsion. The theory includes all the effects of rotary inertia, shear and axial deformations. Frobenius' scheme and the dynamic stiffness method are then applied to solve these equations. A further...
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