The conflict between the dynamics postulate（unitary evolution） and the measurement postulate（wavepacket collapse） of quantum mechanics has been reconciled by Zurek from an information transfer perspective [Phys.Re...The conflict between the dynamics postulate（unitary evolution） and the measurement postulate（wavepacket collapse） of quantum mechanics has been reconciled by Zurek from an information transfer perspective [Phys.Rev. A 76（2007） 052110], and has further been extended to a more general scenario [Phys. Rev. A 87（2013） 052111].In this paper, we reconsider Zurek＇s new derivation by using weak repeatability postulate or covariant condition instead of repeatability postulate.展开更多
Repeated Unit Cell（RUC）is a useful tool in micromechanical analysis of composites using Displacement-based Finite Element（DFE）method,and merely applying Periodic Displacement Boundary Conditions（PDBCs）to RUC is ...Repeated Unit Cell（RUC）is a useful tool in micromechanical analysis of composites using Displacement-based Finite Element（DFE）method,and merely applying Periodic Displacement Boundary Conditions（PDBCs）to RUC is almost a standard practice to conduct such analysis.Two basic questions arising from this practice are whether Periodic Traction Boundary Conditions（PTBCs,also known as traction continuity conditions）are guaranteed and whether the solution is independent of selection of RUCs.This paper presents the theoretical aspects to tackle these questions,which unify the strong form,weak form and DFE method of the micromechanical problem together.Specifically,the solution’s independence of selection of RUCs is dealt with on the strong form side,PTBCs are derived from the weak form as natural boundary conditions,and the validity of merely applying PDBCs in micromechanical Finite Element（FE）analysis is proved by referring to its intrinsic connection to the strong form and weak form.Key points in the theoretical aspects are demonstrated by illustrative examples,and the merits of setting micromechanical FE analysis under the background of a clear theoretical framework are highlighted in the efficient selection of RUCs for Uni Directional（UD）fiber-reinforced composites.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.11461045,11326099,11361042,11265010 Natural Science Foundation of Jiangxi Province of China under Grant Nos.20142BAB211016,20132BAB201001,20132BAB212009
文摘The conflict between the dynamics postulate（unitary evolution） and the measurement postulate（wavepacket collapse） of quantum mechanics has been reconciled by Zurek from an information transfer perspective [Phys.Rev. A 76（2007） 052110], and has further been extended to a more general scenario [Phys. Rev. A 87（2013） 052111].In this paper, we reconsider Zurek＇s new derivation by using weak repeatability postulate or covariant condition instead of repeatability postulate.
文摘Repeated Unit Cell（RUC）is a useful tool in micromechanical analysis of composites using Displacement-based Finite Element（DFE）method,and merely applying Periodic Displacement Boundary Conditions（PDBCs）to RUC is almost a standard practice to conduct such analysis.Two basic questions arising from this practice are whether Periodic Traction Boundary Conditions（PTBCs,also known as traction continuity conditions）are guaranteed and whether the solution is independent of selection of RUCs.This paper presents the theoretical aspects to tackle these questions,which unify the strong form,weak form and DFE method of the micromechanical problem together.Specifically,the solution’s independence of selection of RUCs is dealt with on the strong form side,PTBCs are derived from the weak form as natural boundary conditions,and the validity of merely applying PDBCs in micromechanical Finite Element（FE）analysis is proved by referring to its intrinsic connection to the strong form and weak form.Key points in the theoretical aspects are demonstrated by illustrative examples,and the merits of setting micromechanical FE analysis under the background of a clear theoretical framework are highlighted in the efficient selection of RUCs for Uni Directional（UD）fiber-reinforced composites.
