We consider an elongated bi-material assembly with a continuous compliant attachment (bonding layer). The assembly is subjected to external tensile forces and bending moments applied to the ends of one of the assembly components. The objective of the analysis is to develop a simple and physically meaningful predictive analytical (“mathematical”) model for the evaluation of the interfacial shearing and peeling stresses in the bonding material, as well as the stresses acting in the cross-sections of the assembly components, with consideration of the effect of the compliance of the bonding layer. The model can be helpful in the stress-strain analysis and physical design of various assemblies of the type in question, such as, for instance, printed-circuit-board (PCB)/surface-mounted-device (SMD) assemblies. With some minor modifications the model can be applied also to die/carrier assemblies in “stretchable” (large area) electronics and photonics. The developed model enables one particularly to evaluate the induced stresses from the measured strains in the PCB in the vicinity of the SMD package. The numerical example carried out for a PCB experiencing bending in a concave fashion indicated that the interfacial shearing stresses computed with consideration of the assembly bow were lower, and the peeling stresses calculated with taking into account the effect of tension were higher, than the stresses predicted for the situation, when the assembly was subjected either to tension only, or to bending only. We explain the physics of this phenomenon. We show, as an illustration, how the developed stress model can be used for the evaluation of the dynamic response of a PCB/SMD assembly to an impact load applied to the PCB support contour in drop or shock tests.
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