On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

By variational methods, for a kind of Webster scalar curvature problems on the CR sphere with cylindrically symmetric curvature, we construct some multi-peak solutions as the parameter is sufficiently small under certain assumptions. We also obtain the asymptotic behaviors of the solutions.     

拱形试件动态断裂的动光弹分析

本文采用动光弹方法,分析了对带边裂纹的拱形三点弯曲试件在抢击加载条件下的瞬态反应。从多火花动光弹仪记录下来的16幅断裂过程的照片和微机输出的电火花光信号图上,得到了各时刻的等差线图形和裂纹长度。使用运动裂纹尖端附近的应力场解,去计算动应力强度因子。对环氧树脂材料,测定了动态应力强度因子与裂纹扩展速度之间的关系,并给出了当裂纹扩展速度达到410m/s时,为裂纹产生分叉的条件。     

STUDIES ON ORGANOPHOSPHORUS COMPOUNDS XXX. MASS SPECTROSCOPIC INVESTIGATION OF 2-ALKYL-2-OXO-1,3,2-DIOXA-PHOSPHORINANE AND-PHOSPHEPANE

Abstract

The mass spectra of 2-alkyl-2-oxo-1,3,2-dioxa-phosphorinane and-phosphepane showed that the ring opening was in competition with the cleavage of the P[sbnd]C bond. According to the fragmentation pathway, which was dependent on the structure of exocyclic substituents on phosphorus, the 2-alkyl-2-oxo-1,3,2-di-oxa-phosphorinanes can be classified in two categories. The main process in category A was the ring opening and/or C[sbnd]C bond cleavage. While in category B the cleavage of P[sbnd]C bond was predominant. However, for 2-alkyl-2-oxo-1,3,2-dioxa-phosphepane. no matter how the structure of 2-alkyl group was, the ring opening was a dominant process.     

STUDIES ON ORGANOPHOSPHORUS COMPOUNDS XLIV. STRUCTURAL EFFECT OF ELECTROPHILES ON THE REGIOSELECTIVITY OF CARBANION DERIVED FROM DIALKYL ALLYLPHOSPHONATES

Abstract

For the evaluation of the structural effect of electrophiles on the regioselectivity of ambident anions, the reaction of phosphoryl allylic carbanion with p-substituted benzaldehydes was investigated.     

Effect of BaO on the calcination and hydration characteristic of CA

Phosphoaluminate cement (PAC) clinker had good mechanical properties at early and long-term period. In comparison, the compressive strength of PAC clinker modified by BaO was more prominent. As primary mineral phase for PAC clinker, CA’s mineralogical structure and hydration characteristics were intimately related to the compressive strength of hardened cement paste. In this study, the effects of BaO content on the calcination, mineralogical structure and hydration characteristics of CA were investigated. Experimental results showed that the appropriate calcination temperature of CA was 1400 °C. No more than 11% (the substitution ratio of BaO for CaO) addition of BaO can promote the conversion of C₁₂A₇ to CA and increase the formation ratio of CA. Appropriate content of 7 mol% BaO could endow the hardened paste with excellent compressive strength. In CA mineral phase the high limit addition of BaO was 15 mol%. The addition of BaO decreased and even restrained the formation of C₂AH₈ and C₃AH₆ of CA hydration products and also improved the content of CAH₁₀. The addition of BaO dramatically decreased the hydration velocity and cumulative heat of CA mineral.

     

激光辐照下皮肤组织光热响应有限元分析

为了更好地选择临床激光医疗曝光参量,采用有限元数值计算方法,模拟了脉冲激光与连续激光对人皮肤组织的光热作用及导致的温度变化效应,比较了两者的不同,得到了热响应时间及热弛豫时间与组织深度的关系,即组织越深(0～60 μm),其热响应时间(0～4 ms)与热弛豫时间(0.4～12.1 ms)越长;分析了激光脉宽长短对组织升温的影响;建立了评价脉冲间热损失的评价函数δ,并以此对脉冲间隔的选取作了探讨.     

Existence of Bubbling Solutions for Chern–Simons Model on a Torus

We study the existence of bubbling solutions for the the following Chern–Simons–Higgs equation: $$\Delta u +\frac1{\varepsilon^2} {\rm e}^u(1-{\rm e}^u) = 4\pi \sum_{i=1}^{2k}\delta_{p_i},\quad \text{in}\,\Omega,$$ where Ω is a torus. If k = 1, for any critical point q of the associated sum of the Green functions, we introduce a quantity D(q) (see (1.11) below). We show that for any non-degenerate critical point q with D(q) < 0, the above problem has a solution u _ε satisfying that ε → 0, u _ε blows up at q. The calculations in this paper also show that, if a sequence of solutions u _ε blows up at q as ε → 0, then q must be a critical point of the associated sum of the Green functions, and ${D(q) \leqq 0}$ . So, the condition D(q) < 0 is almost necessary to obtain our result. We also construct solutions with k bubbles for ${k \geqq 2}$ .     

基于紧凑拉伸剪切结构的复合型疲劳裂纹扩展研究

针对含I-II型复合裂纹的紧凑拉伸剪切(CTS)试样,研究了不同加载角度下的裂纹扩展路径及裂纹扩展寿命,通过实验数据给出了适宜于CTS试样的等效应力强度因子关系式,并基于此提出了一种新的I-II型复合裂纹扩展模型。研究表明,CTS试样的裂纹沿与加载方向近垂直的方向扩展,基于Tanaka公式的等效应力强度因子更适合于本文CTS试件的裂纹扩展寿命评估。当加载角度处于0°~45°之间时,提出的复合型裂纹扩展模型预测误差控制在5.49%之内,验证了分析模型的可行性和准确性。     

Structure‐Based Rational Design of Prodrugs To Enable Their Combination with Polymeric Nanoparticle Delivery Platforms for Enhanced Antitumor Efficacy

Drug‐loaded nanoparticles (NPs) are of particular interest for efficient cancer therapy due to their improved drug delivery and therapeutic index in various types of cancer. However, the encapsulation of many chemotherapeutics into delivery NPs is often hampered by their unfavorable physicochemical properties. Here, we employed a drug reform strategy to construct a small library of SN‐38 (7‐ethyl‐10‐hydroxycamptothecin)‐derived prodrugs, in which the phenolate group was modified with a variety of hydrophobic moieties. This esterification fine‐tuned the polarity of the SN‐38 molecule and enhanced the lipophilicity of the formed prodrugs, thereby inducing their self‐assembly into biodegradable poly(ethylene glycol)‐block‐poly(d,l ‐lactic acid) (PEG‐PLA) nanoparticulate structures. Our strategy combining the rational engineering of prodrugs with the pre‐eminent features of conventionally used polymeric materials should open new avenues for designing more potent drug delivery systems as a therapeutic modality.