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Body moment

About: Body moment is a research topic. Over the lifetime, 19 publications have been published within this topic receiving 167 citations.

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Journal ArticleDOI
TL;DR: In this article, an equivalent continuum is defined for dynamically deforming atomistic particle systems treated with concepts of molecular dynamics, and the equivalence of the continuum to discrete atomic systems includes preservation of linear and angular momenta, conservation of internal, external and inertial work rates and conservation of mass.
Abstract: An equivalent continuum is defined for dynamically deforming atomistic particle systems treated with concepts of molecular dynamics. The discrete particle systems considered exhibit micropolar interatomic interactions which involve both central interatomic forces and interatomic moments. The equivalence of the continuum to discrete atomic systems includes, firstly, preservation of linear and angular momenta, secondly, conservation of internal, external and inertial work rates and, thirdly, conservation of mass. This equivalence is achieved through the definition of, firstly, continuum stress and couple stress fields that make the same contribution to motion and deformation as internal interatomic forces and couples, secondly, continuum fields of body force, body moment, surface traction and surface moment that make the same contribution to motion and deformation as external forces and moments on the atoms, thirdly, a continuum deformation field that is work conjugate to the continuum kinetic fiel...

66 citations

Journal ArticleDOI
TL;DR: In this paper, a surface-induced traction is introduced through nonlocal residuals of the surface, and a new measure of stress called the nonlocal stress is defined, and the corresponding non-local stress formula and nonlocal balance equations distinguishing from the existing forms are established.
Abstract: In this paper, attention is given to some basic problems in nonlocal continuum mechanics. Firstly, a surface-induced traction is introduced through nonlocal residuals of the surface. By it, a new measure of stress called the nonlocal stress is defined. The corresponding nonlocal stress formula and nonlocal balance equations distinguishing from the existing forms are established systematically. The existence of nonlocal residuals of body force, body moment and energy is investigated in detail based on the objectivity of the nonlocal balance equation of energy. Based on these results, the nonlocal hyperelastic constitutive equation is consistently deduced. Finally, the linear nonlocal elasticity is used to analyse the lattice contraction on a crystal surface induced by the surface-induced traction. The effects of the ``boundary layer'' are discussed. Some interesting results are given.

22 citations

Journal ArticleDOI
TL;DR: In this article, the shape of a rigid-type solar sail was determined based on the displacement of one or more attachment points of the sail material, and the effect of the solar radiation incidence angle on the moment applied to the solar sail body was investigated.

15 citations

Journal ArticleDOI
TL;DR: In this paper, new degenerated shell elements with drilling degree of freedom with micropolar elasticity are presented, and the proper stiffness on the drilling degree is derived and no spurious modes are encountered in these elements.
Abstract: Based on the theory of micropolar elasticity, new degenerated shell elements with drilling degree of freedoms are presented. The proper stiffness on the drilling degree of freedom is derived and no spurious modes are encountered in these elements. The implementation of these new shell elements on general structural finite element programs has many advantages, especially for the analysis of a folded shell or the treatment of the twist moment normal to the shell. Several numerical examples are carried out to demonstrate the accuracy and applicability of the present elements. The effects of the coupling factor and the body moment induced in magneto-solid mechanics are also studied.

14 citations

Journal ArticleDOI
Dai Tian-min1
TL;DR: In this article, a complete system of basic balance laws and equations for micropolar continuum theory is presented based on the restudies of existing polar continuum theories and the new coupled balance laws of linear momentum, angular momentum and energy are reestablished.
Abstract: Based on the restudies of existing polar continuum theories rather complete systems of basic balance laws and equations for micropolar continuum theory are presented. In these new systems not only the additional angular momentum, surface moment and body moment produced by the linear momentum, surface force and body force, respectively, but also the additional velocity produced by the angular velocity are considered. The new coupled balance laws of linear momentum, angular momentum and energy are reestablished. From them the new coupled local and nonlocal balance equations are naturally derived. Via contrast it can be clearly seen that the new results are believed to be rather general and complete.

13 citations

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20201
20164
20141
20101
20091
20061