This paper reports on the application of a Physics of Failure (PoF) methodology to assessing the reliability of a micro electro mechanical system (MEMS). Numerical simulations, based on the finite element method (FEM) using a sub-domain approach was used to examine the damage onset due to temperature variations (e.g. yielding of metals which may lead to thermal fatigue). In this work remeshing techniques were employed in order to develop a damage tolerance approach based on the assumption that initial flaws exist in the multi-layered.
IntroductionPhysics of Failure (PoF) methodologies have become well established tools for evaluating the risks of failure in electronics [1]. The Polynoe Programme is committed at improving the understanding, the modelling and the prediction of the reliability of DC MEMS switches through a PoF approach [1]. Typical failure modes observed in MEMS devices and their packages include fatigue, interface delamination, and die cracking. In particular, delamination can cause shorting or mechanical impedance [2]. This research aims, firstly, to understand the effects of temperature variations as a possible cause of damage, such as yielding in the metal layers, and subsequent failure (e.g. interfacial delamination, fracture) in multilayered MEMS packages. The particular MEMS considered in this work are DC MEMS switches, but the methodology is applicable to a range of devices manufactured using similar technology. However, the construction of full-scale finite element models of MEMS devices such as DC switches which are detailed enough to accurately resolve the stresses within each region of the model is difficult due to their complex geometry. Hence, an accurate determination of local stresses can be achieved by the use of a sub-domain or representative volume element (RVE) in which the effect of the global stress/strain field at the local micro-structural scale of the device can be computed more accurately [3]. The sub-domain adopted in this study is three-dimensional (3D) which allows the determination of accurate and realistic tri-axial stress/strain fields within the FE model. This methodology consents to a detailed understanding of the effects of thermal loading conditions on the stress/strain distribution at micro-structural level and in particular near the materials interfaces [4,5]. The second part of this study aims to simulate the delamination in metal layers caused by high stress gradients. In fact, the high stress gradients, due to the material mismatch, might lead to inter-layer damage with the presence of cracks. In this paper a conceptual model is presented for a software framework, based on the remeshing tool Zencrack combined with FE code ABAQUS [6], which allows efficient and automatic simulation of non-planar 3D crack propagation.