平面应变条件下孔洞化不稳定性问题研究

考虑平面应变条件下，由一类推广的幂次neo—Hookean材料组成的内部分布温度场的圆柱体在轴向和径向载荷作用下的孔洞化不稳定性问题，研究中发现当材料参数满足一定的条件时，存在着一个载荷临界值，当外加载荷大于该临界值时，圆柱体中心将出现一个圆柱形的孔洞，即发生了孔洞化不稳定性现象并详细讨论了温度和材料参数对孔洞化极限载荷的影响。     

一类高次多项式系统极限环的存在性和唯一性

通过变换将一类高次多项式系统转化为广义Liénard系统,并利用广义Liénard系统的结果研究了其极限环存在性问题,推广了相关文献的结果.     

Stress-based upper-bound method and convex optimization: case of the Gurson materialMéthode cinématique par les contraintes et optimisation convexe : cas du matériau de Gurson

A nonlinear interior point method associated with the kinematic theorem of limit analysis is proposed. Associating these two tools enables one to determine an upper bound of the limit loading of a Gurson material structure from the knowledge of the sole yield criterion. We present the main features of the interior point algorithm and an original method providing a rigorous kinematic bound from a stress formulation of the problem. This method is tested by solving in plane strain the problem of a Gurson infinite bar compressed between rough rigid plates. To cite this article: F. Pastor et al., C. R. Mecanique 334 (2006).     

Évaluation de l'influence des changements de géométrie sur les déformations de séchage d'un milieu poreux fissuréInfluence of geometry changes on drying-induced strains in a cracked solid

The macroscopic response of a cracked solid subjected to drying is investigated within the framework of micromechanics. The originality of this contribution lies in the fact that the variations of the aspect ratios of cracks induced by the capillary pressure increase are accounted for. When the initial aspect ratio is small enough, it is shown that neglecting the geometrical changes yields an erroneous prediction of the sign of the macroscopic volume strain rate. To cite this article: X. Chateau et al., C. R. Mecanique 331 (2003).     

Small vibrations of a linearly elastic body surrounded by heavy,incompressible, non-Newtonian fluids with free surfaces

We consider the small transient motions of a coupled system constituted by a linearly elastic body and two heavy, incompressible, non-Newtonian fluids.Through a formulation in terms of non-linear evolution equations in Hilbert spaces of possible states with finite mechanical energy, we obtain existence and uniqueness results and study the influence of gravity. To cite this article: C. Licht, Tran Thu Ha, C. R. Mecanique 333 (2005).     

Singular nature of nonlinear macroscale effects in high-rate flow through porous mediaNature singulière des effets macroscopiques non linéaires dans un écoulement à hautes vitesses en milieux poreux

The quadratic law of laminar flow through porous media at high Reynolds numbers, which is well confirmed by the multiple experimental data, is shown to give rise to three fundamental paradoxes. All them can be resolved by assuming the singular structure of flow. The singularity is produced by the formation of jet brunches which invade the stagnant zones and sharply loss their kinetic energy. The numerical simulation confirms this effect. To cite this article: M. Panfilov et al., C. R. Mecanique 331 (2003).     

基于色谱–光谱联用和斜投影法分析丹皮酚含量

将色谱–光谱仪联用(HPLC–UV)法与斜投影法结合,建立了丹皮酚含量快速分析方法。通过色谱–光谱联用采集丹皮酚结晶母液的紫外多波长光谱三维数据,构建不含丹皮酚的背景数据库以及丹皮酚光谱数据库,基于斜投影法步骤测定了批量样本中丹皮酚含量。结果表明:该方法计算结果和高效液相色谱分析结果接近,相对误差小于5.0%。测定结果的相对标准偏差为0.4%~1.0%(n=5),回收率为98.8%~101.3%。该方法快速、准确,操作简单,可为丹皮酚结晶产品及各种制剂质量控制提供可行方案。     

Option Pricing and Hedging under a Markov Switching Lévy Process Model

In this paper,we consider a Markov switching Lévy process model in which the underlying risky assets are driven by the stochastic exponential of Markov switching Lévy process and then apply the model to option pricing and hedging.In this model,the market interest rate,the volatility of the underlying risky assets and the N-state compensator,depend on unobservable states of the economy which are modeled by a continuous-time Hidden Markov process.We use the MEMM(minimal entropy martingale measure) as the equivalent martingale measure.The option price using this model is obtained by the Fourier transform method.We obtain a closed-form solution for the hedge ratio by applying the local risk minimizing hedging.     

Bolzano's Theorems for Holomorphic Mappings

The existence of a zero for a holomorphic functions on a ball or on a rectangle under some sign conditions on the boundary generalizing Bolzano's ones for real functions on an interval is deduced in a very simple way from Cauchy's theorem for holomorphic functions.A more complicated proof,using Cauchy's argument principle,provides uniqueness of the zero,when the sign conditions on the boundary are strict.Applications are given to corresponding Brouwer fixed point theorems for holomorphic functions.Extensions to holomorphic mappings from Cn to Cn are obtained using Brouwer degree.