Miniaturization of electronics to nanoscale leads to significantly higher current density levels and larger thermal gradients in electronics packaging. Laboratory test data show that thermomigration plays a significant role in high current density induced failure in solder joints and interconnects. In this paper, a computational damage mechanics model for thermomigration process is proposed and...

The incorporation of higher order strain gradients into the constitutive equations of continuum damage mechanics is presented. Thereby, not only scalar-valued isotropic damage models but also anisotropic damage models allowing for directional dependent sti€ness degradation are elaborated. An elegant possibility of describing anisotropic material behavior based on the microplane theory is demons...

A model to describe the damage state of materials is developed within the framework of Continuum Damage Mechanics. The damage variable is considered as a random variable. To predict the damage state in a body, knowledge of its intrinsic damage distribution is required. After dividing the body into a number of elementary cells, the intrinsic damage distribution can be determined utilizing statis...

This paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. After a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. Using doublet mechanics, the relation between natural f...

Carbon nanotubes (CNTs) demonstrate unusually high stiffness, strength and resilience, and are therefore an ideal reinforcing material for nanocomposites. However, much work has to be done before the potentials of CNT-based composites can be fully realized.  Evaluating the effective material properties of such nanoscale materials is a very difficult tasks.  Simulations using molecular dynamics ...