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	How to Compute the Atomic Stress Objectively?
	Liu, Bin ; Qiu, Xinming
	2010-10-12 ; 2010-10-12
关键词	Atomic Stress Virial Stress Lagrangian Description Eulerian Description MOLECULAR-DYNAMICS INTERATOMIC POTENTIALS VIRIAL-THEOREM SIMULATIONS SOLIDS INSTABILITIES HYDROCARBONS NANOWIRES SYSTEM Chemistry, Multidisciplinary Nanoscience & Nanotechnology Materials Science, Multidisciplinary Physics, Applied Physics, Condensed Matter
中文摘要	Atomistic simulation has been a powerful study tool in mechanics research, but how to objectively compute the atomic stress equivalent to Cauchy stress is still controversial, especially on the velocity-related part in the virial stress definition. In this paper, by strictly following the classical definition of the Cauchy stress for continuum medium, the fundamental Lagrangian atomic stress is proposed and can be used to obtain the correct Cauchy stress under any circumstances. Furthermore, the Lagrangian virial stress is proposed, which is still in virial form but does not include velocities to avoid controversial velocity treatments. It is also found that the widely used classical virial stress is actually the Eulerian virial stress, which includes the velocities of atoms, and is valid only when the impulse-momentum theorem is applicable to estimate the internal forces. However this requirement for the Eulerian atomic stress can not always be met in practical cases, such as the material volume element in rotation and the examples presented in this paper, but the proposed Lagrangian atomic stress can avoid these velocity-related nonobjectivities.
语种	英语 ; 英语
出版者	AMER SCIENTIFIC PUBLISHERS ; STEVENSON RANCH ; 25650 NORTH LEWIS WAY, STEVENSON RANCH, CA 91381-1439 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81975]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, Bin,Qiu, Xinming. How to Compute the Atomic Stress Objectively?[J],2010, 2010.
APA	Liu, Bin,&Qiu, Xinming.(2010).How to Compute the Atomic Stress Objectively?..
MLA	Liu, Bin,et al."How to Compute the Atomic Stress Objectively?".(2010).

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