To study the sharp degradation point of concrete durability, damage at the characteristic failure point under loads was first obtained by the application of the one-dimensional stress-strain relationship of Saenz. The...To study the sharp degradation point of concrete durability, damage at the characteristic failure point under loads was first obtained by the application of the one-dimensional stress-strain relationship of Saenz. Then based on the principle that damage at the characteristic failure point subjected to loads is equal to the damage in accordance with the characteristic point of concrete durability under environmental actions, the sharp degradation point of concrete durability was determined. The results were applied to the case of concrete suffering freeze-thaw actions. Good accordance between experimental results and forecasted results indicated the reliability of this method.展开更多
Inspired by Durfee Conjecture in singularity theory, Yau formulated the Yau number theoretic conjecture(see Conjecture 1.3) which gives a sharp polynomial upper bound of the number of positive integral points in an n-...Inspired by Durfee Conjecture in singularity theory, Yau formulated the Yau number theoretic conjecture(see Conjecture 1.3) which gives a sharp polynomial upper bound of the number of positive integral points in an n-dimensional(n≥3) polyhedron. It is well known that getting the estimate of integral points in the polyhedron is equivalent to getting the estimate of the de Bruijn function ψ(x, y), which is important and has a number of applications to analytic number theory and cryptography. We prove the Yau number theoretic conjecture for n = 6. As an application, we give a sharper estimate of function ψ(x, y) for 5≤y < 17, compared with the result obtained by Ennola.展开更多
基金This paper is supported by the National Natural Science Foundation ofChina (Nos .50538070 ,50578068) .
文摘To study the sharp degradation point of concrete durability, damage at the characteristic failure point under loads was first obtained by the application of the one-dimensional stress-strain relationship of Saenz. Then based on the principle that damage at the characteristic failure point subjected to loads is equal to the damage in accordance with the characteristic point of concrete durability under environmental actions, the sharp degradation point of concrete durability was determined. The results were applied to the case of concrete suffering freeze-thaw actions. Good accordance between experimental results and forecasted results indicated the reliability of this method.
基金the Start-Up Fund from Tsinghua University, Tsinghua University Initiative Scientific Research Program and National Natural Science Foundation of China (Grant No. 11401335)
文摘Inspired by Durfee Conjecture in singularity theory, Yau formulated the Yau number theoretic conjecture(see Conjecture 1.3) which gives a sharp polynomial upper bound of the number of positive integral points in an n-dimensional(n≥3) polyhedron. It is well known that getting the estimate of integral points in the polyhedron is equivalent to getting the estimate of the de Bruijn function ψ(x, y), which is important and has a number of applications to analytic number theory and cryptography. We prove the Yau number theoretic conjecture for n = 6. As an application, we give a sharper estimate of function ψ(x, y) for 5≤y < 17, compared with the result obtained by Ennola.
