Abstract
A finite-deformation gradient crystal plasticity theory is developed, which takes into account the interaction between dislocations and surfaces. The model captures both energetic and dissipative effects for surfaces penetrable by dislocations. By taking advantage of the principle of virtual power, the surface microscopic boundary equations are obtained naturally. Surface equations govern surface yielding and hardening. A thin film under shear deformation serves as a benchmark problem for validation of the proposed model. It is found that both energetic and dissipative surface effects significantly affect the plastic behavior.
Highlights
In the last two to three decades, many efforts have been devoted to studying the mechanical properties of smallscaled and/or fine-grained crystalline materials widely used in small-scaled engineering such as microelectronics and microelectromechanical systems to ensure their performance and reliability in practical applications
In view of reversibility associated with surface step formation, we explore the influence of surface effects on the plastic behavior during unloading
A surface model has been developed within the framework of finite deformation gradient single crystal plasticity theories
Summary
In the last two to three decades, many efforts have been devoted to studying the mechanical properties of smallscaled and/or fine-grained crystalline materials widely used in small-scaled engineering such as microelectronics and microelectromechanical systems to ensure their performance and reliability in practical applications. In order to construct predictive theories for the plastic behavior in small-scaled crystalline materials, the dislocation-relevant mechanisms both in the bulk and at the GB/surface need to be properly considered on the continuum level. By further considering the interaction energy between surface steps, Peng and Huang (2015) constructed a physically based energetic surface model within the framework of work-conjugated higher-order gradient crystal plasticity. In this model, a surface yielding condition is derived naturally, and interactions between slip systems are considered. The theory is numerically implemented by using an in-house finite element code based on a dual-mixed finite element solution strategy to study a benchmark problem
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