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991.
Dr. Tian Qin Dr. Lara R. Malins Jacob T. Edwards Rohan R. Merchant Alexander J. E. Novak Jacob Z. Zhong Riley B. Mills Ming Yan Dr. Changxia Yuan Dr. Martin D. Eastgate Prof. Phil S. Baran 《Angewandte Chemie (International ed. in English)》2017,56(1):260-265
Two named reactions of fundamental importance and paramount utility in organic synthesis have been reinvestigated, the Barton decarboxylation and Giese radical conjugate addition. N ‐hydroxyphthalimide (NHPI) based redox‐active esters were found to be convenient starting materials for simple, thermal, Ni‐catalyzed radical formation and subsequent trapping with either a hydrogen atom source (PhSiH3) or an electron‐deficient olefin. These reactions feature operational simplicity, inexpensive reagents, and enhanced scope as evidenced by examples in the realm of peptide chemistry. 相似文献
992.
In this paper, we define a new constrained multi-component KP(cMKP) hierarchy which contains the constrained KP(cKP) hierarchy as a special case. We derive the recursion operator of the constrained multi-component KP hierarchy. As a special example, we also give the recursion operator of the constrained two-component KP hierarchy. 相似文献
993.
A singular integral equation arising in a cruciform crack problem is investigated in the present paper. Based on the convex technique, the piecewise Taylor-series expansion method is extended by introducing a weight parameter. An approximate solution of the singular integral equation is constructed and its convergence and error estimate are made. The variations of the approximate solutions associating with stress intensity factors are analyzed by considering internal pressures of power and sine functions, respectively. By comparing with the known methods, the observations reveal that a good approximation can be achieved using less derivative times, less discretization points, and a suitable weight parameter. The obtained results show that the crack growth is dependent on applied mechanical loadings. 相似文献
994.
Two homoclinic solutions for a nonperiodic fourth‐order differential equation without coercive condition 下载免费PDF全文
In this paper, we investigate the existence of homoclinic solutions for a class of fourth‐order nonautonomous differential equations where w is a constant, and . By using variational methods and the mountain pass theorem, some new results on the existence of homoclinic solutions are obtained under some suitable assumptions. The interesting is that a(x) and f(x,u) are nonperiodic in x,a does not fulfil the coercive condition, and f does not satisfy the well‐known (AR)‐condition. Furthermore, the main result partly answers the open problem proposed by Zhang and Yuan in the paper titled with Homoclinic solutions for a nonperiodic fourth‐order differential equations without coercive conditions (see Appl. Math. Comput. 2015; 250:280–286). Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
995.
In this paper, we establish the existence of three weak solutions for quasilinear elliptic equations in an Orlicz-Sobolev space via an abstract result recently obtained by Ricceri in [13]. 相似文献
996.
Blow‐up phenomena for a semilinear parabolic equation with weighted inner absorption under nonlinear boundary flux 下载免费PDF全文
Blow‐up phenomena for a nonlinear divergence form parabolic equation with weighted inner absorption term are investigated under nonlinear boundary flux in a bounded star‐shaped region. We assume some conditions on weight function and nonlinearities to guarantee that the solution exists globally or blows up at finite time. Moreover, by virtue of the modified differential inequality, upper and lower bounds for the blow‐up time of the solution are derived in higher dimensional spaces. Three examples are presented to illustrate applications of our results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
997.
本文在文献[2,3]的基础上,提出了一个解各向异性弹塑性中厚度板壳问题的有限元方法。考虑材料各向异性的特点,采用了Hill推广的Huber-Mises屈服准则;借用Owen的剪切修正系数,正确计及了叠层复合材料壳体的横向剪切效应;为了避免“自锁”现象,文中采用了9节点的Heterosis二次壳单元;特别是本文利用插值外推的思想,提出了一个带预测的弧长增量控制法,显著提高了确定变形路径的计算效率。几个数值算例表明本文给出的有限元方法对于各向异性中厚度板壳的弹塑性分析有较好的精度,尤其是对具有复杂变形路径的结构计算,收敛速度提高更快。 相似文献
998.
本文从热传导离散物理模型上论证了集中质量热容矩阵模型可以在离散点上满足热量守恒定律,采用它就可以避免许多热传导时间积分中的不合理现象。几个算例表明了该模型具有良好的精度。 相似文献
999.
A DECAGONAL QUASICRYSTAL WITH AN ARC-SHAPED CRACK 总被引:2,自引:0,他引:2
Wang Xu Zhong Zheng 《Acta Mechanica Solida Sinica》2003,16(1):8-15
A decagonal quasicrystal,which is weakened by an arc-shaped crack penetratingthrough the solid in the period direction,and which is subjected to remote uniform phonon stresses,is investigated by applying the complex variable method which is just developed by the authors.It is found that the phonon and phason stresses near the crack tips exhibit inverse square rootsingularities.The four complex stress functions characterizing the phonon and phason fields arederived.Explicit expressions for the phonon and phason stress intensity factors,crack openingdisplacements and energy release rate are also presented. 相似文献
1000.
电磁波导的半解析辛分析 总被引:18,自引:1,他引:18
根据电磁波导的Hamilton体系,辛几何可用于任意各向异性材料,而且便于处理不同区段的界面条件,横向的电场和磁场构成了对偶向量.基于Hamilton变分原理用半解析法进行横向离散应当保持体系的辛结构.离散后可以运用应用力学的有效算法,求解其辛本征值问题.每段波导可以引入两端Riccati矩阵,用精细积分法求解其方程组. 相似文献