用矩量法解阻尼介质中简支方板的塑性动力响应问题

本文用矩量法解薄板塑性动力响应问题，分析阻尼介质对简支方板塑性动力响应的影响，对计算结果进行了讨论．     

宽板塑性弯曲成形过程中的板厚变化规律

根据宽板弯曲过程中的变形与应力分布特征，提出了一种计算弯曲过程中板料厚度随弯曲程度变化的新的近似解答方法．该方法基于塑性增量理论，应用塑性成形过程的体积不变假设和弯曲过程的平面假设．作为算例，得到了理想刚塑性材料的板料厚度、变薄系数以及应变中性层内移系数随板料弯曲内表面曲率半径变化的规律，并与实验数据进行了比较，两吻合良好．     

变形—损伤耦合的超塑性恒压轴对称充模胀形的有限元模拟

采用大变形刚粘塑性有限元法模拟超塑性恒压轴对称充模胀形过程，分析了模具几何参数及材料参数对胀形过程中材料的流变行为、胀形制件厚度分布和成形时间的影响规律，给出了质点的流动轨迹，不同时刻制件的剖面形状及应力、应变分布；基于修正的Ｇｕｒｓｏｎ粘塑性势推导了内部空洞体积分数累积增大模型并据此进行了变形－损伤耦合计算。     

用Laplace变换分析弹┐粘塑性梁的弯曲

在弹塑性梁弯曲变形理论基础上，本文用Ｌａｐｌａｃｅ变换进一步分析了弹－粘塑性梁的弯曲问题．并以矩形截面梁为例，说明弹－粘塑性梁弯曲时的弹性与粘塑性区的应力，梁的挠度及弹－粘塑性交线的计算     

求解粘塑性力学中的两个问题

本文研究环板和厚壁圆筒的粘塑性分析问题。在这两个问题中部忽略了弹性变形,给出了这类结构的应力分析和变形计算的方法,获得了粘塑性环板和厚壁圆筒的许多重要结果。     

正交切削过程的刚塑性有限元算法及其实现

对刚塑性有限元用于正交切削分析中的切屑与基体材料分离准则、切屑与前刀面脱离判据等关键技术问题进行了系统的研究;建立了求解该问题的刚塑性有限元基本方程,给出了单元刚度矩阵和节点载荷列阵的详细算法以及金属大变形过程中网格畸变问题的处理技术。利用自行开发的正交切削模拟计算程序,对铝合金ZL-301创削过程进行了全程模拟,计算结果与试验结果吻合。     

碟形薄壳的塑性屈曲

本文采用非线性前屈曲一致理论分析均布外压下碟形薄壳的塑性屈曲问题，建立了这类壳体的能量表达式和屈曲方程，给出了简明的计算格式。数值分析结果表明，所导出的算法具有较好的精度，计算过程也简单方便。     

金属轧制入口区润滑界面滑移分析

金属成形加工中润滑界面滑移分析是工程技术人员普遍关注的重要课题之一。因此，利用有限元及参数二次规划法分析研究了金属轧制过程入口区的界面滑移问题。结果发现，滑移速度可用参数二次规划技术直接获得，在压力分布和滑移速度之间不存在迭代过程；界面滑移可以使润滑油膜厚度明显减小，这与文献报道的试验结果一致；粘塑性润滑剂的初始极限剪应力和极限比例常是面滑移的影响很大。从而影响了油膜厚度；当润滑剂和工件材料及厚度     

考虑锚杆作用的深埋软岩隧道黏弹塑性力学响应解析

深埋软岩隧道围岩表现出显著的塑性软化与剪胀特性,而当下的理论分析很少同时考虑这两点,导致预测结果与隧道实际变形行为存在一定误差.为解决该问题,本文基于Kelvin-Voigt流变模型和Mohr-Coulomb强度准则,考虑了塑性阶段时围岩软化与剪胀特征,并引入了掌子面空间约束效应,建立了深埋软岩隧道黏弹-塑性计算分析模...     

变形-损伤耦合的起塑性恒压轴对称充模胀形的有限元模拟

采用大变形刚粘塑性有限元法模拟超塑性恒压轴对称充模胀形过程、分析了模具几何参数及材料参数对胀形过程中材料的流变行为、胀形制许厚度分布和成形时间的影响规律。给出了质点的流动轨迹、不同时刻制件的剖面形状及应力、应变分布；基于修正的Gurson粘塑性势推导了内部空洞体积分数累积增大模型并据此进行了变形-损伤耦合计算．     

分析薄壳塑性动力响应问题的一种数值方法

探索薄壳塑性动力响应问题的分析与数值方法,是当今力学中的重要课题之一。笔者曾给出联合应用拉普拉斯变换和最小二乘法分析梁、板、壳塑性动力响应的方法。本文分别针对承受中载的短壳和长壳问题,给出只用最小二乘法分析其塑性动力响应的方法。     

ANALYSIS ON THE MAGNETO-ELASTIC-PLASTIC BUCKLING/SNAPPING OF CANTILEVER RECTANGULAR FERROMAGNETIC PLATES

An analysis of buckling/snapping and bending behaviors of magneto-elastic-plastic interaction and coupling for cantilever rectangular soft ferromagnetic plates is presented.Based on the expression of magnetic force from the variational principle of ferromagnetic plates,the buckling and bending theory of thin plates,the Mises yield criterion and the increment theory for plastic deformation,we establish a numerical code to quantitatively simulate the behaviors of the nonlinearly multi-fields coupling problems by the finite element method.Along with the phenom- ena of buckling/snapping and bending,or the characteristic curve of deflection versus magnitude of applied magnetic fields being numerically displayed,the critical loads of buckling/snapping, and the influences of plastic deformation and the width of plate on these critical loads,the plastic regions expanding with the magnitude of applied magnetic field,as well as the evolvement of deflection configuration of the plate are numerically obtained in a case study.     

APPLICATION OF NONLOCAL FRICTION IN SEVERAL KINDS OF PLASTIC FORMING PROBLEMS

Introduction Frictionaffectsformingforce,energy,toollifeandtheproductquality(surfacefinish,internalstructure,productlife,etc)inplasticformingprocesses.Thefrictionphenomenon iscomplexformanyparametersinteractwitheachanotherandaffecttheformingprocess.Fricti…     

金属切屑塑性流动的稳定性

对金属正交切削过程中切屑形成机制和材料塑性流动行为进行实验研究和理论分析. 通过对4 种常用金属材料正交切削过程的实验研究和切屑形貌的微观观察,确定了连续切屑转变成锯齿切屑的临界速度. 结果表明该临界速度与材料性能相关. 在实验观察基础上,提出描述材料正交切削过程的二维分析模型. 该模型假设切屑形成区为包括主剪切区和次剪切区的一个平行四边形. 载荷有主剪切区中的剪应力和次剪切区中的正压力;通过量纲分析得到描述材料正交切削过程的无量纲主控参数和无量纲形式的基本控制方程;应用线性稳定性分析方法建立平面应变状态下评价材料塑性流动稳定性的普遍准则;求得切屑形成区内材料塑性变形的速度和应力近似解. 讨论切屑形成、形貌转变以及相关的塑性失稳机制. 分析结果表明, 表征材料惯性与阻尼之比的无量纲参数— 雷诺数可以作为主控参数描述金属切削过程以及切屑材料塑性流动的稳定性.      

General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line

Crack line analysis is an effective way to solve elastic-plastic crack problems.Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode-Ⅲ crack problems under the perfect elastic-plastic condition,matching procedures of the crack line analysis method are summarized and refined to give general forms and formulation steps of plastic field,elastic-plastic boundary,and elastic-plastic matching equations near the crack line. The research unifies mode-Ⅲ crack problems under different conditions into a problem of determining four integral constants with four matching equations.An example is given to verify correctness,conciseness,and generality of the procedure.     

General forms of elastic-plastic matching equations for mode-Ⅲ cracks near crack line

Crack line analysis is an effective way to solve elastic-plastic crack problems. Application of the method does not need the traditional small-scale yielding conditions and can obtain sufficiently accurate solutions near the crack line. To address mode- Ⅲ crack problems under the perfect elastic-plastic condition, matching procedures of the crack line analysis method axe summarized and refined to give general forms and formulation steps of plastic field, elastic-plastic boundary, and elastic-plastic matching equations near the crack line. The research unifies mode-III crack problems under different conditions into a problem of determining four integral constants with four matching equations. An example is given to verify correctness, conciseness, and generality of the procedure.     

结构塑性动力响应当前的研究进展和重点

本文从结构塑性动力响应的工程背景和研究特点出发,简要介绍了此学科当前的研究进展和重点。主要评述了国内外学者所关注的一些基本理论问题和研究方法。同时也提出了数值分析和近似方法中尚待解决的问题。     

Shakedown reduced kinematic formulation,separated collapse modes,and numerical implementation

Our shakedown reduced kinematic formulation is developed to solve some typical plane stress problems, using finite element method. Whenever the comparisons are available, our results agree with the available ones in the literature. The advantage of our approach is its simplicity, computational effectiveness, and the separation of collapse modes for possible different treatments. Second-order cone programming developed for kinematic plastic limit analysis is effectively implemented to study the incremental plasticity collapse mode. The approach is ready to be used to solve general shakedown problems, including those for elastic–plastic kinematic hardening materials and under dynamic loading.     

Application of conservation laws to Dirichlet problem for elliptic quasilinear systems

In the present work we show the possibility of using of conservation laws to solve the Dirichlet problem for elliptic quasilinear systems. As a result the integral representation of solution is obtained. For the system of filtration of aerated fluid in porous medium and for system of elastic–plastic torsion of prismatic rods corresponding conservation laws are calculated in explicit form and the Dirichlet problems are solved.     

Semianalytic Finite-Element Method in Problems of Nonlinear Continuum Mechanics

A technique for solving problems of nonlinear continuum mechanics associated with contact interaction, plastic distortion, and continuous and discrete fracture of spatial bodies is developed based on the semianalytic finite-element method generalized to noncanonical bodies. Solutions are obtained to new applied problems in various branches of technology. Compared with the traditional FEM, the technique is highly efficient—the amount of computation needed to solve spatial problems reduces by several orders of magnitude