Based on the slip-line field theory, a two-dimensional slip failure mechanism with mesh-like rigid block system was constructed to analyze the ultimate bearing capacity problems of rough foundation within the framewor...Based on the slip-line field theory, a two-dimensional slip failure mechanism with mesh-like rigid block system was constructed to analyze the ultimate bearing capacity problems of rough foundation within the framework of the upper bound limit analysis theorem. In the velocity discontinuities in transition area, the velocity changes in radial and tangent directions are allowed. The objective functions of the stability problems of geotechnical structures are obtained by equating the work rate of external force to internal dissipation along the velocity discontinuities, and then the objective functions are transformed as an upper-bound mathematic optimization model. The upper bound solutions for the objective functions are obtained by use of the nonlinear sequential quadratic programming and interior point method. From the numerical results and comparative analysis, it can be seen that the method presented in this work gives better calculation results than existing upper bound methods and can be used to establish the more accurate plastic collapse load for the ultimate bearing capacity of rough foundation.展开更多
This study considers an-particle jump-diffusion system with mean field interaction,where the coefficients are locally Lipschitz continuous.We address the convergence as n→∞of the empirical measure of the jump-diffus...This study considers an-particle jump-diffusion system with mean field interaction,where the coefficients are locally Lipschitz continuous.We address the convergence as n→∞of the empirical measure of the jump-diffusions to the solution of a deterministic McKean-Vlasov equation.The strong well-posedness of the associated McKean-Vlasov equation and a corresponding propagation of chaos result are proven.In particular,we also provide precise estimates of the convergence speed with respect to a Wasserstein-like metric.展开更多
In strengthening the multi-disciplinary and multi-angle cooperation,the theoretical analysis of linguistics can be improved to a newlevel and also the study of language acquisition can be expanded to a wilder field of...In strengthening the multi-disciplinary and multi-angle cooperation,the theoretical analysis of linguistics can be improved to a newlevel and also the study of language acquisition can be expanded to a wilder field of view. The secret for the pedagogy of performing another culture to be successful lies in integrating with the theoretical knowledge in other disciplines and fields and promoting the development of the second language pedagogy to a broader space. In this process,the"meme theory"in the field of biology is a theoretical method absorbed and very outstandingly implemented by the pedagogy of performing another culture,so it is worth borrowing and introducing and also is of great significance in language acquisition.展开更多
基金Projects(51078359, 51208522) supported by the National Natural Science Foundation of ChinaProjects(20110491269, 2012T50708) supported by China Postdoctoral Science FoundationProject supported by Postdoctoral Science Foundation of Central South University, China
文摘Based on the slip-line field theory, a two-dimensional slip failure mechanism with mesh-like rigid block system was constructed to analyze the ultimate bearing capacity problems of rough foundation within the framework of the upper bound limit analysis theorem. In the velocity discontinuities in transition area, the velocity changes in radial and tangent directions are allowed. The objective functions of the stability problems of geotechnical structures are obtained by equating the work rate of external force to internal dissipation along the velocity discontinuities, and then the objective functions are transformed as an upper-bound mathematic optimization model. The upper bound solutions for the objective functions are obtained by use of the nonlinear sequential quadratic programming and interior point method. From the numerical results and comparative analysis, it can be seen that the method presented in this work gives better calculation results than existing upper bound methods and can be used to establish the more accurate plastic collapse load for the ultimate bearing capacity of rough foundation.
文摘This study considers an-particle jump-diffusion system with mean field interaction,where the coefficients are locally Lipschitz continuous.We address the convergence as n→∞of the empirical measure of the jump-diffusions to the solution of a deterministic McKean-Vlasov equation.The strong well-posedness of the associated McKean-Vlasov equation and a corresponding propagation of chaos result are proven.In particular,we also provide precise estimates of the convergence speed with respect to a Wasserstein-like metric.
基金The Scientific Research Project from the Education Department of Jiangsu Province in 2013:Study on Movie and Television Language(No.2013SJB740034)
文摘In strengthening the multi-disciplinary and multi-angle cooperation,the theoretical analysis of linguistics can be improved to a newlevel and also the study of language acquisition can be expanded to a wilder field of view. The secret for the pedagogy of performing another culture to be successful lies in integrating with the theoretical knowledge in other disciplines and fields and promoting the development of the second language pedagogy to a broader space. In this process,the"meme theory"in the field of biology is a theoretical method absorbed and very outstandingly implemented by the pedagogy of performing another culture,so it is worth borrowing and introducing and also is of great significance in language acquisition.
