To investigate the static and dynamic resilient modulus of fine soil,and adapting to the new design code and maintenance system of highway subgrade in China,a series of static and dynamic tests were carried out accord...To investigate the static and dynamic resilient modulus of fine soil,and adapting to the new design code and maintenance system of highway subgrade in China,a series of static and dynamic tests were carried out according to the standard laboratory test methods(JTG E40-2007 and JTG D30-2015,respectively).The effects of initial water content,compactness and freeze-thaw cycles on the static and dynamic resilient moduli of fine soil were investigated and analyzed.Experimental test results show that with increasing water content,dry density and freeze-thaw cycles,the static moduli reduces about10.2%~40.0%,14.4%~45.5%,and 24.0%~50.3%,and dynamic moduli reduces about 10.9%~90.8%,2.5%~38.4%,and0.0%~46.0%,respectively.Then,the empirical mathematical relationship between static and dynamic resilient moduli was established under different water content,dry density and freeze-thaw cycles.The investigation results can be used to determine the dynamic modulus of fine soil by widely used static modulus,which could meet the requirement of adopting dynamic modulus index in new specification.展开更多
A simple graph G=(V,E)is said to be vertex Euclidean if there exists a bijection f from V to{1,2,...,|V|}such that f(u)+f(v)>f(w)for each C3 subgraph with vertex set{u,v,w},where f(u)<f(v)<f(w).The vertex Euc...A simple graph G=(V,E)is said to be vertex Euclidean if there exists a bijection f from V to{1,2,...,|V|}such that f(u)+f(v)>f(w)for each C3 subgraph with vertex set{u,v,w},where f(u)<f(v)<f(w).The vertex Euclidean deficiency of a graph G,denotedμv Euclid(G),is the smallest positive integer n such that G∪N_(n) is vertex Euclidean.In this paper,we introduce some methods for deriving the vertex Euclidean properties of some simple graphs.展开更多
基金supported by the National Key Basic Research Development Plan (2012CB026104)the National Natural Science Foundation of China (51408163, 51578200 and 41430634)
文摘To investigate the static and dynamic resilient modulus of fine soil,and adapting to the new design code and maintenance system of highway subgrade in China,a series of static and dynamic tests were carried out according to the standard laboratory test methods(JTG E40-2007 and JTG D30-2015,respectively).The effects of initial water content,compactness and freeze-thaw cycles on the static and dynamic resilient moduli of fine soil were investigated and analyzed.Experimental test results show that with increasing water content,dry density and freeze-thaw cycles,the static moduli reduces about10.2%~40.0%,14.4%~45.5%,and 24.0%~50.3%,and dynamic moduli reduces about 10.9%~90.8%,2.5%~38.4%,and0.0%~46.0%,respectively.Then,the empirical mathematical relationship between static and dynamic resilient moduli was established under different water content,dry density and freeze-thaw cycles.The investigation results can be used to determine the dynamic modulus of fine soil by widely used static modulus,which could meet the requirement of adopting dynamic modulus index in new specification.
文摘A simple graph G=(V,E)is said to be vertex Euclidean if there exists a bijection f from V to{1,2,...,|V|}such that f(u)+f(v)>f(w)for each C3 subgraph with vertex set{u,v,w},where f(u)<f(v)<f(w).The vertex Euclidean deficiency of a graph G,denotedμv Euclid(G),is the smallest positive integer n such that G∪N_(n) is vertex Euclidean.In this paper,we introduce some methods for deriving the vertex Euclidean properties of some simple graphs.