含旋转椭球形夹杂复合材料的弹塑性本构关系

在体胞模型的基础之上应用解析方法分析了颗粒或短纤维增强复合材料的本构行为，结合数值计算给出了表征材料本构关系的解析表达式，提出了一种新的正交椭球坐标变换以简化推导过程，在计算中，将真实位移场分为两部分：基本场的扰动场，然后通过摄动方法将原来的非线性问题转化为一组线性方程组的求解，计算了当基体材料和夹杂的特征参数取不同值时的应力应变曲线，并与已有的实验和分析结果进行了比较，符合得较好，通过对数值计算结果的拟合，提出了一个颗粒或短纤维增强复合材料的弹塑性本构关系的解析表达式。

基于CE/SE方法的二维Euler型多物质流体弹塑性问题计算

将CE/SE方法推广到二维固体流体弹塑性问题的数值计算,同时结合杂交粒子水平集方法追踪物质界面和合适的边界条件,提出一套完整的二维Euler型流体弹塑性计算方案.通过长钨杆侵彻装甲钢实验的数值模拟,对方法的精度和有效性进行验证.

模拟弹塑性碰撞的修正SPH方法

从基本的无网格光滑粒子法SPH(Smoothed Particle Hydrodynamics)近似出发,修正了模拟固体力学中大变形弹塑性碰撞的SPH方法.在边界处采用修正的边界条件,弹塑性分析过程中采用增量理论计算应力,迭代过程中用守恒光滑法进行滤波修正消除拉力不稳定.对SPH方法进行了程序实现,给出了杆弹塑性碰撞的算例.计算分析表明,SPH方法节点的影响域较大、精度较相同节点间距有限元法的结果有一定差距,但是通过增加粒子数量可以提高SPH的精度,保持了其简单性和计算大变形的特性.

弹塑性海床上的管土相互作用分析

海底管线的在位稳定性问题足海底管线设计中的关键问题之一，为对海底管线的设计提供理论依据，采用大型通用有限元软件ABAQus对管土系统进行分析。士体的本构模型采用动态的Ramberg-Osgood弹塑性模型，通过改变管道的水下重、环境载荷等参数进行计算。计算结果表明，由于土体侧向隆起而形成的楔形与试验结果相比吻合，管道的水下重、环境载荷对管道的稳定性都有一定程度的影响，并得到了管道侧向失稳的判别准则。

Methods of Obtaining Instantaneous Modulus of Viscoelastic Solids Using Displacement-Controlled Instrumented Indentation with Axisymmetric Indenters of Arbitrary Smooth Profiles

We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for displacement-controlled indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. While the same expression is well known for indentation in elastic and in elastic-plastic solids, we show that it is also true for indentation in linear viscoelastic solids, provided that the unloading rate is sufficiently fast. When the unloading rate is slow, a "hold" period between loading and unloading can be used to provide a correction term for the initial unloading slope equation. Finite element calculations are used to illustrate the methods of fast unloading and "hold-at-the-maximum-indenter-displacement" for determining the instantaneous modulus using spherical indenters.

Relationships between Initial Unloading Slope, Contact Depth, and Mechanical Properties for Spherical Indentation in Linear Viscoelastic Solids

Using analytical and finite element modeling, we examine the relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in viscoelastic solids with either displacement or load as the independent variable. We then investigate whether the Oliver-Pharr method for determining the contact depth and contact radius, originally proposed for indentation in elastic and elastic-plastic solids, is applicable to spherical indentation in viscoelastic solids. Finally, the analytical and numerical results are used to answer questions raised in recent literature about measuring viscoelastic properties from instrumented spherical indentation experiments.

陶瓷晶须增强铝基复合材料初始段性能预测

本文利用挤铸造方法结合热压的方法制备了Al_(18)B_4O_(33)w/Al和SiCw/Al复合材料，实现了对增强体取向的调整。利用SEM在位观测、MTS宏观拉伸等实验方法研究了复合材料的细观结构、细观损伤演化规律和材料的宏观性能。通过理论分析、数值计算，结合实验的方法，定量地讨论了材料性能和其微观结构参数之间的关系，定性地总结了短纤维增强金属基复合材料的细观损伤演化规律。经过分析和实验，阐明了热挤压对短纤维增强金属基复合材料增强体空间取向性（取向密度）的影响；讨论了在短纤维增强金属基复合材料中宏观应变和基体、增强体应变的关系；并且进一步研究了密排、多取向群体短纤维增强体的应变，在材料处于弹性和塑性阶段的演化规律；提出了利用增强体轴向应变和材料宏观应变在该方向的分量之比值λ_f来描述增强体增强效果，给出了λ_f在材料承载过程中的演化规律；总结了短纤维增强金属基复合材料的性能（弹性模量）和晶须空间取向之间的关系；利用修正了的混合定律比较好地预测了短纤维增强金属基复合材料的弹性模量；并且进一步预测了短纤维增强金属基复合材料的弹塑性性能。

基于球形压入法提取材料的塑性力学参数

基于球形压入的工作方式,重点研究材料塑性力学参数的表征方法.首先,通过对球压入可测量的综合评价,选取能晕比(可释放功和压入总功之比)作为主要分析参数;其次,利用孔洞模型、量纲分析和数值模拟等工具,定义特定的代表性应变,建立起能量比和材料塑性力学参数之间的关系式,由此,提出一种能提取材料屈服应力和硬化指数的力学表征方法,该方法避免了对接触半径的测量,确保了方法的可操作性,并通过参数重组提高其稳定性;最后,选用45号钢和6061铝合金进行压入试验,与拉伸试验结果比对显示:该方法识别的塑性力学参数能满足工程测试需要.

A surface energy model and application to mechanical behavior analysis of single crystals at sub-micron scale

Size effects of mechanical behaviors of materials are referred to the variation of the mechanical behavior due to the sample sizes changing from macroscale to micro-/nanoscales. At the micro-/nanoscale, since sample has a relatively high specific surface area (SSA) (ratio of surface area to volume), the surface although it is often neglected at the macroscale, becomes prominent in governing the energy effect, although it is often neglected at the macroscale, becomes prominent in governing the mechanical behavior. In the present research, a continuum model considering the surface energy effect is developed through introducing the surface energy to total potential energy. Simultaneously, a corresponding finite element method is developed. The model is used to analyze the axial equilibrium strain problem for a Cu nanowire at the external loading-free state. As another application of the model, from dimensional analysis, the size effects of uniform compression tests on the microscale cylinder specimens for Ni and Au single crystals are analyzed and compared with experiments in literatures. (C) 2009 Elsevier B.V. All rights reserved.

A Mechanical Model For The Quantification Of The Effect Of Laser Quenching On Ctod In Steels

The technology of laser quenching is widely used to improve the surface properties of steels in surface engineering. Generally, laser quenching of steels can lead to two important results. One is the generation of residual stress in the surface layer. In general, the residual stress varies from the surface to the interior along the quenched track depth direction, and the residual stress variation is termed as residual stress gradient effect in this work. The other is the change of mechanical properties of the surface layer, such as the increases of the micro-hardness, resulting from the changes of the microstructure of the surface layer. In this work, a mechanical model of a laser-quenched specimen with a crack in the middle of the quenched layer is developed to quantify the effect of residual stress gradient and the average micro-hardness over the crack length on crack tip opening displacement (CTOD). It is assumed that the crack in the middle of the quenched layer is created after laser quenching, and the crack can be a pre-crack or a defect due to some reasons, such as a void, cavity or a micro-crack. Based on the elastic-plastic fracture mechanics theory and using the relationship between the micro-hardness and yield strength, a concise analytical solution, which can be used to quantify the effect of residual stress gradient and the average micro-hardness over the crack length resulting from laser quenching on CTOD, is obtained. The concise analytical solution obtained in this work, cannot only be used as a means to predict the crack driving force in terms of the CTOD, but also serve as a baseline for further experimental investigation of the effect after laser-quenching treatment on fracture toughness in terms of the critical CTOD of a specimen, accounting for the laser-quenching effect. A numerical example presented in this work shows that the CTOD of the quenched can be significantly decreased in comparison with that of the unquenched. (C) 2008 Elsevier B.V. All rights reserved.

弹塑性海床上的海底管道沉降特性分析

海底管线的在位稳定性问题是海底管线设计中的关键问题之一,为对海底管线的设计提供理论依据,采用有限元软件ABAQUS对管土系统进行分析。海床土体采用Ramberg-Osgood模型进行模拟,管土接触面采用"接触对"的算法进行处理,解决了管道嵌入海床的动边界接触问题。通过改变管道的水下重、环境载荷、管径、屈服应力等参数进行计算。数值计算结果表明这些参数对管道的沉降量都有一定程度的影响。

Scaling relationships in conical indentation of elastic perfectly plastic solids

Using dimensional analysis and finite element calculations we derive several scaling relationships for conical indentation into elastic-perfectly plastic solids. These scaling relationships provide new insights into the shape of indentation curves and form the basis for understanding indentation measurements, including nano- and micro-indentation techniques. They are also helpful as a guide to numerical and finite element calculations of conical indentation problems. Finally, the scaling relationships are used to reveal the general relationships between hardness, contact area, initial unloading slope, and mechanical properties of solids.

An elasto-plastic constitutive relation of whisker-reinforced metal-matrix composite

A material model for whisker-reinforced metal-matrix composites is constructed that consists of three kinds of essential elements: elastic medium, equivalent slip system, and fiber-bundle. The heterogeneity of material constituents in position is averaged, while the orientation distribution of whiskers and slip systems is considered in the structure of the material model. Crystal and interface sliding criteria are addressed. Based on the stress-strain response of the model material, an elasto-plastic constitutive relation is derived to discuss the initial and deformation induced anisotropy as well as other fundamental features. Predictions of the present theory for unidirectional-fiber-reinforced aluminum matrix composites are favorably compared with FEM results.

Numerical verification for instrumented spherical indentation techniques in determining the plastic properties of materials

 Instrumented indentation tests have been widely adopted for elastic modulus determination. Recently, a number of indentation-based methods for plastic properties characterization have been proposed, and rigorous verification is absolutely necessary for their wide application. In view of the advantages of spherical indentation compared with conical indentation in determining plastic proper-ties, this study mainly concerns verification of spherical indentation methods. Five convenient and simple models were selected for this purpose, and numerical experiments for a wide range of materials are carried out to identify their accuracy and sensitivity characteristics. The verification results show that four of these five methods can give relatively accurate and stable results within a certain material domain, which is defined as their validity range and has been summarized for each method.

The inhomogeneity of plastic-deformation in ductile single-crystals

A discrete slip model which characterizes the inhomogeneity of material properties in ductile single crystals is proposed in this paper. Based on this model rate-dependent finite element investigations are carried out which consider the finite deformation, finite rotation, latent hardening effect and elastic anisotropy. The calculation clearly exhibits the process from microscopic inhomogeneous and localized deformation to necking and the formation of LSBS and reveals several important features of shear localization. For example, the inhomogeneous deformation is influenced by the imperfections and initial non-uniformities of material properties. The inhomogeneous deformation may either induce necking which results in the lattice rotation and leads to geometrical softening, which in turn promotes the formation of CSBS, or induces heavily localized deformation. The microscopic localized deformation eventually develops into the LSBS and results in a failure. These results are in close agreement with experiment. Our calculations also find that the slip lines on the specimen's surface at necking become curved and also find that if the necking occurs before the formation of LSBS, this band must be misoriented from the operative slip systems. In this case, the formation of LSBS must involve non-crystallographic effects. These can also be indirectly confirmed by experiment. All these suggest that our present discrete slip model offers a correct description of the inhomogeneous deformation characterization in ductile crystals.