复合泡沫塑料力学行为的研究综述

复合泡沫塑料是一种重要的防护材料,它在国防工业和民用工业各部门均有许多重要的应用,对这类材料的力学行为进行研究具有重要的学术价值和应用前景.本文对复合泡沫塑料力学行为的研究文献进行了综述.首先,对复合泡沫塑料力学行为研究的早期工作进行了简介.然后,重点介绍了复合泡沫塑料力学行为研究的最新进展,其中也包括作者近期在该领域开展的一些工作;对复合泡沫塑料进行了静、动态压缩实验和细观加载实验,研究了材料的宏观变形规律和细观失效机制;在理论研究方面,探讨了复合泡沫塑料的能量吸收和缓冲特性,从宏、细观力学分析出发研究了复合泡沫塑料有关力学性能的理论预测问题;还利用计算机和通用软件对高密度复合泡沫塑料进行了有限元分析,研究了高密度复合泡沫塑料的失效行为.最后,给出对该领域研究工作的一些展望.      

Yield behavior of photoplastic materials

A mixture of flexible and rigid polyester resins has been used previously by Morris and Riley¹⁶ and by Zachary and Riley⁹ to model plastic deformations. The last of these papers furnished mechanical and optical properties under uniaxial tension and compression for several different mixture ratios of the polyester resins and also presents some results under multiaxial-stress conditions from thin cylinders under internal pressure. In a recent paper, Burger, Gomide and Scott¹⁴ used the rigid polyester resin at elevated temperature to model plastic deformations in upset rings; the behavior of the rigid polyester was verified with diametrically compressed disks and uniaxial-compression specimens. A very important similitude requirement for model to prototype scaling in photoplasticity work is that the macroscopic yield behavior of model and prototype materials must be the same. Thus, not only uniaxial tension and compression properties must be examined, but also yield properties under multiaxial-stress states have to be determined. The purpose of this paper is to provide additional information on the yield behavior of polyester mixtures which appear suitable for model studies of manufacturing methods such as rolling and extruding. For these processes, mixture ratio, test temperature and strain rate can be used to control the shape of the stress-strain curve and the yield behavior. The experimental procedure used to determine the initial yield locus of the photoplastic materials employed a new specimen geometry proposed by Arcan, Hashin and Voloshin¹⁸ which produces uniform biaxial-stress fields of opposite sign in one section of the specimen. Both polycarbonate and polyester materials were evaluated using this procedure and results are compared with those available in the technical literature.     

Qualitative analysis of strain localization. Part I: Transversely isotropic elasticity and isotropic plasticity

While the conditions for the onset of strain localization in inelastic materials with isotropic elasticity have been extensively studied in recent years, few attempts have been devoted to investigate the effect of anisotropy and in particular the influence of the anisotropic elastic behavior on the localization phenomenon. In Part I of this paper, the localization analysis will be performed for an elastoplastic von Mises material with transversely isotropic elasticity subjected to uniaxial tension. Numerical and analytical results showing the influence of the deviation from isotropic elasticity on the onset of strain localization are presented. The anisotropic elastic behavior may substantially trigger the shear band initiation and modify the corresponding failure pattern. These observations become critical for highly damaged materials. Further developments concerning both transversely isotropic elasticity and plasticity are given in Part II of the paper.     

负泊松比材料和结构的研究进展

负泊松比材料和结构具有特殊的力学性能,在单轴压力(拉力)作用下发生横向收缩(膨胀).其在抗剪承载力、抗断裂性、能量吸收和压陷阻力等方面比传统材料更有优势,因而负泊松比材料在医疗设备、传感器、防护设备、航空航海及国防工程等领域有广泛的应用前景,但目前负泊松比材料的应用与普及仍面临一些挑战.本文广泛讨论了国内外关于负泊松比材料的研究成果并介绍了负泊松比材料的最新进展,将负泊松比材料大体概括为以下4类:天然负泊松比材料、胞状负泊松比材料、金属负泊松比材料、多重和复合负泊松比材料.主要介绍了各种负泊松比材料的内部结构、负泊松比机理、力学性能以及在各行各业的新发明、新应用.针对目前负泊松比材料研究理论和实验成果多,而实际应用仍然较少的情况,指出了负泊松比材料的缺点及其推广所面临的挑战.目前负泊松比材料面临的主要问题是制造成本高、孔隙率大而承载力不足以及仅适用于小应变情况等.本文针对此情况详细介绍了金属负泊松比材料及其设计和制作的方法,改善负泊松比材料的不足并推广其应用.      

A micromechanical study of drying and carbonation effects in cement-based materials

This paper is devoted to a micromechanical study of mechanical properties of cement-based materials by taking into account effects of water saturation degree and carbonation process. To this end, the cement-based materials are considered as a composite material constituted with a cement matrix and aggregates (inclusions). Further, the cement matrix is seen as a porous medium with a solid phase (CSH) and pores. Using a two-step homogenization procedure, a closed-form micromechanical model is first formulated to describe the basic mechanical behavior of materials. This model is then extended to partially saturated materials in order to account for the effects of water saturation degree on the mechanical properties. Finally, considering the solid phase change and porosity variation related to the carbonation process, the micromechanical model is coupled with the chemical reaction and is able to describe the consequences of carbonation on the macroscopic mechanical properties of material. Some comparisons between numerical results and experimental data are presented.     

非局部弹性理论概述及在当代材料背景下的一些进展

局部作用原理在发展经典连续介质力学的本构关系中起着重要的作用，由此导出的简单物质理论得到了广泛的应用．然而，随着科技的发展，各种具有微结构的新材料不断涌现，理论和实验表明，非局部理论可以更好地刻画这些材料的宏观力学行为．本文简要介绍了一些传统的非局部弹性理论，包括Eringen 理论、Kunin 理论、Mindlin 理论；阐述了针对复合材料发展的，具有时间-空间非局部特征的Willis 方程、最新的时间-空间耦合非局部弹性动力学理论以及近场动力学理论．时间-空间非局部理论反映了复合材料宏观性能固有的非局部特征，而具有空间非局部特征的近场动力学理论便于处理具有不连续性的问题．最后，本文讨论了非局部理论的发展中值得关注的一些问题.     

Mechanical characterization and modeling of polymeric materials for high-pressure sealing

The choice of a proper material is probably the most critical factor in the design of seals able to withstand extremely high pressure, and knowledge of material mechanical properties is essential for the finite-element model (FEM) simulations needed to understand and optimize seal behavior. The aim of this work is the mechanical characterization of polymeric materials for ultrahigh-pressure sealing applications (600 MPa). After a short presentation of seal design and materials commonly used, the testing of four thermoplastic materials is described: PA6, H-TPU and UHMWPE reinforced with glass or ceramic microspheres to enhance wear resistance. Uniaxial tension and compression, shear and planar tension test were performed as well as a stress relaxation test to gain information about viscoelastic effects. Experimental data are then discussed and elasto-plastic and hyperelastic constitutive models for polymeric materials reviewed, focusing on the application of these models at high pressure. The Young's modulus and yield strength are very sensitive to hydrostatic pressure for polymeric materials and a proposal for the implementation in the FEM of this effect is illustrated.     

锅炉用钢材强化规律的实验研究

通过对六种锅炉用钢材的实验研究,得到了材料屈服的一些特点,给出了在沿一定加载路径的拉压循环载荷作用下材料的强化规律,以及在拉伸和压缩时材料所表现出的不同性质。     

Exact results and approximate models for porous viscoplastic solids

The aim of this paper is to present new approximate macroscopic models for porous viscoplastic materials, based on partial but exact results applicable to such media. Available results are first supplemented by providing a new inequality (which, in addition to its intrinsic interest, allows one to rederive in a simpler way some previous bounds of Ponte-Castaneda and Talbot and Willis), and by exhibiting the exact form of the overall potential of a typical porous viscoplastic volume element, namely a hollow cylinder loaded in generalized plane strain. Approximate expressions for the macroscopic viscoplastic potentials of materials containing cavities of cylindrical or spherical shape are then proposed, based on these and other results; these expressions satisfy, in particular, the three following natural requirements: (i) reproduce the exact solution of a hollow cylinder or sphere loaded in hydrostatic tension or compression; (ii) be a quadratic form of the overall stress tensor in the extreme case of a Newtonian (linear) behaviour; and (iii) yield the currently accepted Gurson criterion in the other extreme case of an ideal-plastic behavior.     

Analysis of localization in brittle materials through optical techniques

This paper is devoted to the experimental analysis of strain localization in rock like specimens subjected to uniaxial compression. Two different techniques are involved in this research: stereophotogrammetry and laser speckle photography. The strain fields obtained by these techniques exhibit a homogeneous response followed by a strain localization before the peak of the load verses displacement curve. These observations allow one to choose the appropriate mechanical constitutive equations to describe the behavior of such materials.     

金属非晶的强度和变形特性

金属非晶发展至今已有多种体系并可实现厘米量级的块体制备,其各种性能也都有了广泛的研究。本文主要介绍金属非晶的单轴拉伸、单轴压缩、微柱压缩、薄板弯曲、拉伸-扭转等物理力学特性及关于其变形的理论分析。文章涵盖了金属非晶的以下一些力学特性：金属非晶的弹性模量和其溶剂金属的相近性―金属非晶通常具有2% 左右的弹性应变极限,对应着GPa量级的高失效强度;金属非晶单轴拉伸、压缩时的宏观塑性特征及塑性变形的典型机制;金属非晶微观上的短程与中程原子团簇结构特点及其与非晶塑性的关联;金属非晶塑性屈服与静水压力的相关性,拉扭组合时呈现的螺旋断口特征,以及Mohr-Coulomb本构模型对这些屈服特征的适用性。最后,作者也介绍了金属非晶塑性变形的微观物理模型及连续介质力学本构,以及金属非晶的断裂与疲劳特性。     

橡胶材料弹性的一种新的螺旋管模型

建立统计力学模型正确描述材料微观结构与宏观力学特性之间的关系是软物质类材料的最大挑战之一,已有的橡胶材料统计模型尚存在一些不足.文章根据橡胶类材料宏观各向同性、连续均匀和不可压缩特性,结合分子链的非高斯统计模型,提出一种橡胶材料网络结构的力学特性模型.该模型将代表体元上对应点之间的传力路径用一个类螺旋管区域约束的分子链子网络来描述,螺旋管的表面随材料的宏观变形做仿射变形,分子链子网络由方向和长度随机的分子链或链段首尾链接而成,在此基础上由分子链的熵推导出描述材料宏观力学特性的本构关系.通过大量的材料测试数据对本构模型进行拟合验证,拟合结果表明该模型具有非常好的精度,并且在采用两个参数时模型具有非常高的可靠性,仅用单轴拉伸实验数据拟合模型就能准确预测全部3类实验数据.该模型使用了仿射的弯曲管假设,能从微观结构尺度上说明材料的不可压缩特性,避免了直管模型的近似性,为微观尺度的随机性和宏观的均匀性的联系提出一个新的模型.     

Theory of limit equilibrium of bimetallic shells of revolution and circular plates

Bimetallic shells and plates are widely used in technology (see [1, 2]). An investigation into the flexure and stability of thin shells and various types of loading within the limits of elasticity has been carried out in [3]. An investigation into the load-carrying capacity of cylindrical bimetallic shells made of materials which equally resist tension and compression was carried out in [4]. In many cases the materials of the base and plating layers of bimetallic constructions possess substantially different plastic resistance under tension and compression [5]. The given paper is devoted to the investigation of the load-carrying capacity of bimetallic axisymmetric shells which are made of materials that have different resistances to tension and compression; it is also devoted to the assessment of their economy in comparison with homogeneous shells.     

泡沫铝的单向力学行为

本文对不同孔径的开孔泡沫铝材料的单向拉伸性能和单向压缩性能进行了研究,揭示了泡沫铝材料的变形机理,并且发现相对密度不是确定材料力学属性的唯一参数,孔径大小对材料的力学性能也有一定的影响。基于实验数据,我们讨论了材料的宏观力学性能和微观结构的联系,并利用Ramberg-Osgood模型描述了材料的单轴拉伸一维应力应变关系。     

Localization of deformation and loss of macroscopic ellipticity in microstructured solids

Localization of deformation, a precursor to failure in solids, is a crucial and hence widely studied problem in solid mechanics. The continuum modeling approach of this phenomenon studies conditions on the constitutive laws leading to the loss of ellipticity in the governing equations, a property that allows for discontinuous equilibrium solutions. Micro-mechanics models and nonlinear homogenization theories help us understand the origins of this behavior and it is thought that a loss of macroscopic (homogenized) ellipticity results in localized deformation patterns. Although this is the case in many engineering applications, it raises an interesting question: is there always a localized deformation pattern appearing in solids losing macroscopic ellipticity when loaded past their critical state?In the interest of relative simplicity and analytical tractability, the present work answers this question in the restrictive framework of a layered, nonlinear (hyperelastic) solid in plane strain and more specifically under axial compression along the lamination direction. The key to the answer is found in the homogenized post-bifurcated solution of the problem, which for certain materials is supercritical (increasing force and displacement), leading to post-bifurcated equilibrium paths in these composites that show no localization of deformation for macroscopic strain well above the one corresponding to loss of ellipticity.     

Analytic plastic potential for porous aggregates with matrix exhibiting tension-compression asymmetry

This paper is devoted to modeling the effects of the tension-compression asymmetry of the matrix on yielding of the void-matrix aggregate. The matrix plastic behavior is described by the Cazacu et al. [2006. Orthotropic yield criterion for hexagonal closed packed metals. Int. J. Plasticity 22, 1171-1194] isotropic yield criterion, which captures strength differential effects. Using an upper-bound approach, a new analytic isotropic plastic potential for a random distribution of spherical voids is obtained. The derived analytic potential is sensitive to the third invariant of the stress deviator and displays tension-compression asymmetry. In the case when the matrix material has the same yield in tension and compression, it reduces to Gurson's [1977. Continuum theory of ductile rupture by void nucleation and growth: Part I: Yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. Trans. ASME Ser. H 99, 2-15.] criterion. Furthermore, the proposed criterion predicts the exact solution of a hollow sphere loaded in hydrostatic tension or compression. The accuracy of the proposed analytical criterion is assessed through comparisons with finite-element cell calculations.     

Distribution of nonliner relaxation (DNLR) approach of the annealing effects in semicristalline polymers: structure–property relation for high-density polyethylene (HDPE)

This work is devoted to the numerical and experimental study of annealing effects on microstructure and mechanical properties of the high-density polyethylene (HDPE). Uniaxiale tension tests are conducted at 25 °C in order to characterize the mechanical behavior of HDPE. The influence of the annealing treatment on the material microstructure is examined by the Fourier transform infrared spectroscopy, and microstructures are characterized using differential scanning calorimetry. The distribution of nonlinear relaxation approach is adopted to describe the mechanical response of virgin and annealed HDPE. Annealing effects are incorporated into the constitutive model by introducing the microstructure (crystallinity degree) evolution on the macroscopic response of the material. The numerical predictions of the model are in good agreement with experimental results for the different states of the material.