A new membrane model for the ballistic impact response and V50 performance of multi-ply fibrous systems

This paper develops an analytical model for the ballistic impact response of fibrous materials of interest in body armor applications. It focuses on an un-tensioned 2D membrane impacted transversely by a blunt-nosed projectile, a problem that has remained unsolved for a half a century. Membrane properties are assumed characteristic of the best current body armor materials (Kevlar^®, Spectra^®, Zylon^®, S2 glass), which have very high stiffness and strength per unit weight, and low strain-to-failure. Successful comparisons will be made with extensive experimental data on such material systems as reported by Cunniff [Decoupled response of textile body armor. Proc. 18th Int. Symp. of Ballistics, San Antonio, Texas, 1999a, pp. 814–821; V_s–V_r relationships in textile system impact. Proc. 18th Int. Symp. of Ballistics, San Antonio, Texas, 1999b; Dimensional parameters for optimization of textile-based body armor systems, Proc. 18th Int. Symp. of Ballistics, San Antonio, Texas, 1999c, pp. 1303–1310]. Our mathematical formulation draws on the seminal work of Rakhmatulin and Dem’yanov [Strength Under High Transient Loads, 1961, pp. 94–152]. Under constant projectile velocity we first develop self-similar solution forms for the tensile ‘implosion’ wave and the curved cone wave that develops in its wake. Through matching boundary conditions at the cone wave front, we obtain an accurate approximate solution for the membrane response including cone wave speed and strain distribution. We then consider projectile deceleration due to membrane reactive forces, and obtain results on cone velocity, displacement and strain concentration versus time. Other results obtained are the membrane ballistic limit, or V₅₀ velocity, and the residual velocity when penetrated above this limit. We then derive an exact functional representation of a V₅₀ ‘master curve’ found empirically by Cunniff [ibid] to reduce data for a wide variety of fabric systems impacted by blunt cylindrical projectiles. This curve is given in terms two dimensionless parameters based only on fiber mechanical properties and the ratio of the fabric areal density to the projectile mass divided by its area of fabric contact. Our functional representation has no fitting parameters beyond one reflecting uncertainty in the effective diameter of the impact zone relative to the projectile diameter, and even then the values are consistent across several experimental systems. The extremely successful comparison of our analytical model to experimental results in the literature raises fundamental questions about many long-held views on fabric system impact behavior and parameters thought to be important.     

A unified periodical boundary conditions for representative volume elements of composites and applications

An explicit unified form of boundary conditions for a periodic representative volume element (RVE) is presented which satisfies the periodicity conditions, and is suitable for any combination of multiaxial loads. Starting from a simple 2-D example, we demonstrate that the “homogeneous boundary conditions” are not only over-constrained but they may also violate the boundary traction periodicity conditions. Subsequently, the proposed method is applied to: (a) the simultaneous prediction of nine elastic constants of a unidirectional laminate by applying multiaxial loads to a cubic unit cell model; (b) the prediction of in-plane elastic moduli for [±θ]_n angle-ply laminates. To facilitate the analysis, a meso/micro rhombohedral RVE model has been developed for the [±θ]_n angle-ply laminates. The results obtained are in good agreement with the available theoretical and experimental results.     

The effects of the no-touch gap on the no-touch bipolar radiofrequency ablation treatment of liver cancer: A numerical study using a two compartment model

The no-touch bipolar radiofrequency ablation (RFA) for cancer treatment is advantageous primarily because of its capability to prevent tumour track seeding (TTS). In this technique, the RF probes are placed at a distance (no-touch gap) away from the tumour boundary. Ideally, the RF probes should be placed sufficiently far from the tumour in order to avoid TTS. However, having a gap that is too large can lead to ineffective ablation. This paper investigates how the selection of the no-touch gap can affect the tissue electrical and thermal responses during the no-touch bipolar RFA treatment. Simulations were carried out on a two compartment model using the finite element method. Results obtained indicated that a gap that is too large may lead to incomplete ablation and failure to achieve significant ablation margin. However, keeping the gap to be too small may not be clinically practical. It was suggested that the incomplete ablation and the insufficient ablation margin observed in some of the cases may require the placement of additional probes around the tumour. The present study stresses on the importance of identifying the optimal no-touch gap that can avoid TTS without compromising the treatment outcome.     

The continuation and stability analysis methods for quasi-periodic solutions of nonlinear systems

Nonlinear Dynamics - The continuation and stability analysis methods for quasi-periodic solutions of nonlinear systems are proposed. The proposed continuation method advances the...     

长杆弹超高速侵彻半无限混凝土靶实验研究及开坑分析

随着超高速动能武器的发展，长杆弹超高速侵彻混凝土靶机理成为当前的研究热点。为了探究长杆弹超高速侵彻混凝土靶的侵彻机理和开坑规律，本文中开展了TU1铜、Q235钢两类长杆弹以初速度1.8～2.4 km/s正侵彻强度26.5、42.1 MPa混凝土靶的超高速实验。结合文献和本文中的实验数据，对开坑直径和开坑体积进行量纲分析，基于开坑截面的弓形形貌几何关系，得到了开坑深度预测公式。结果表明:靶面开坑尺寸明显大于中低速侵彻时的靶面开坑尺寸，在分析侵彻机理的过程中不能忽略开坑阶段；弹体发生严重的长度缩短，直至最后完全侵蚀，弹洞半径明显大于弹体半径，说明长杆弹超高速侵彻半无限混凝土靶属于半流体侵彻机制。另外，在超高速侵彻条件下:弹体长度是影响侵彻深度的最主要参数；侵彻深度随弹体长度和密度的增大而增大，受弹体强度影响不大。     

纳米W粉冲击烧结的分子动力学模拟

粉末冲击烧结是制备高品质W的一种有效方法，而分子动力学方法在尺度极小、过程迅速的数值模拟上有着独特的优势。因此运用分子动力学方法，结合W的嵌入原子势，对常温下的纳米W粉末的冲击烧结过程进行模拟，得到颗粒微观压实过程图、体系速度分布云图、p-U_p、T-U_p、T-p曲线以及径向分布函数。研究了不同颗粒速度及产生的射流对纳米W粉末冲击烧结影响，分析了微观冲击烧结机理。结果表明，低速冲击条件下（500 m/s以下），纳米颗粒无法压实。高速条件下（1 000 m/s及以上），颗粒能获得致密化很高的压实。颗粒间的相互挤压造成的高应力使颗粒表面的原子发生流动变形，原子向颗粒间空隙流动，形成压实。颗粒间产生的射流以及高速冲击导致的颗粒熔化，均促进烧结获得致密度更高的烧结体。     

梯恩梯(TNT)爆轰初期形成富碳团簇分子及类石墨结构的分子动力学模拟

富碳炸药在爆轰过程中可产生团簇分子,而现有的实验手段不能直接观测团簇分子的形成过程.本文采用ReaxFF/lg力场对梯恩梯（TNT）在不同温度下的热分解过程进行了模拟.研究发现：团簇分子在反应初始阶段形成缓慢,大约一次增加一个TNT相对分子质量.随着反应进行,团簇分子迅速增大,最大团簇分子相对分子质量可达8000~10000,约占体系质量的18%.分析团簇分子的结构发现,团簇分子中一部分苯环被破坏,形成五元环和夹杂N、O原子的六元环,在3500 K条件下还形成了更为复杂的七元环等结构.通过体积膨胀和直接降温的方法,研究了团簇分子的稳定性：体积膨胀使得团簇分子迅速分解;而直接降温,团簇分子又聚合成更大的团簇.分析类石墨结构的产生过程,发现先膨胀然后降温是必不可少的步骤.比较团簇分子和TNT分子中各原子质量所占比,团簇分子中C原子质量比始终在增加.     

3,4-二硝基呋咱基氧化呋咱的比热容、热力学性质、绝热至爆时间及热感度概率密度分布

应用Micro-DSCⅢ微热量仪对3,4-二硝基呋咱基氧化呋咱(DNTF)进行比热容测定, 得到了DNTF比热容随温度变化的线性方程定压cp=0.31064＋2.109×10-3T (285 K相似文献   

Synthesis of a Porous [14]Annulene Graphene Nanoribbon and a Porous [30]Annulene Graphene Nanosheet on Metal Surfaces

The electrical and mechanical properties of graphene-based materials can be tuned by the introduction of nanopores, which are sensitively related to the size, morphology, density, and location of nanopores. The synthesis of low-dimensional graphene nanostructures containing well-defined nonplanar nanopores has been challenging due to the intrinsic steric hindrance. Herein, we report the selective synthesis of one-dimensional (1D) graphene nanoribbons (GNRs) containing periodic nonplanar [14]annulene pores on Ag(111) and two-dimensional (2D) porous graphene nanosheet containing periodic nonplanar [30]annulene pores on Au(111), starting from a same precursor. The formation of distinct products on the two substrates originates from the different thermodynamics and kinetics of coupling reactions. The reaction mechanisms were confirmed by a series of control experiments, and the appropriate thermodynamic and kinetic parameters for optimizing the reaction pathways were proposed. In addition, the combined scanning tunneling spectroscopy (STS) and density functional theory (DFT) calculations revealed the electronic structures of porous graphene structures, demonstrating the impact of nonplanar pores on the π-conjugation of molecules.