A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids

A finite volume cell‐centered Lagrangian hydrodynamics approach, formulated in Cartesian frame, is presented for solving elasto‐plastic response of solids in general unstructured grids. Because solid materials can sustain significant shear deformation, evolution equations for stress and strain fields are solved in addition to mass, momentum, and energy conservation laws. The total stress is split into deviatoric shear stress and dilatational components. The dilatational response of the material is modeled using the Mie‐Grüneisen equation of state. A predicted trial elastic deviatoric stress state is evolved assuming a pure elastic deformation in accordance with the hypo‐elastic stress‐strain relation. The evolution equations are advanced in time by constructing vertex velocity and corner traction force vectors using multi‐dimensional Riemann solutions erected at mesh vertices. Conservation of momentum and total energy along with the increase in entropy principle are invoked for computing these quantities at the vertices. Final state of deviatoric stress is effected via radial return algorithm based on the J‐2 von Mises yield condition. The scheme presented in this work is second‐order accurate both in space and time. The suitability of the scheme is evinced by solving one‐ and two‐dimensional benchmark problems both in structured grids and in unstructured grids with polygonal cells. Copyright © 2013 John Wiley & Sons, Ltd.     

一般切割面的铋硅族氧化物光折变增益特性及动态光栅优化

利用耦合张量对光折变旋光，电光，压电及弹光铋硅族氧化物晶体中光波本征模的作用，在任意晶体切割面上求解了弱耦合的矢量波耦合方程, 并利用有效耦合概念处理了非旋光晶体 中的矢量波耦合问题. 进而计算旋光和非旋光材料中信号光的增益, 并分别比较各向同性耦 合和各向异性耦合对增益的影响. 对旋光材料优化增益，并把处理结果应用于BSO和BTO晶体 . 还讨论了压电和弹光效应对(110)，(111)及(112)切割面优化增益的影响. 关键词： 铋硅族氧化物 光折变 旋光效应 压电 弹光效应     

平面刚架弹塑性大位移分析的多刚体离散元法

本文基于多刚体－弹簧系统模型，给出了求解平面刚架结构弹塑性、大位移极限承载力分析的多刚体离散元法。文中首先推导了多刚体离散元法在总体坐标下的切线刚度阵，建立多刚体离散元法的增量平衡方程；而后推导了多刚体离散元的弹塑性弹簧系数矩阵，建立了多刚体离散元内力屈服面塑性铰法的增量求解格式，成功地进行了平面钢框架的弹塑性、大位移极限承载力分析。计算结果与其他数值方法或实验结果吻合良好，显示了多刚体离散元方法进行结构极限承载力分析这一复杂问题的优越性     

A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms

This article presents a technique based on the hybrid Legendre tau‐finite difference method to solve the fourth order wave equation which arises in the elasto‐plastic‐microstructure models for longitudinal motion of an elasto‐plastic bar. Illustrative examples and numerical results obtained using new technique demonstrate that the proposed approach is efficient in treating longitudinal equation of ealsto‐plastic bar. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1055–1071, 2011     

一类拟线性双曲型方程组经典解的整体存在性Ⅰ

讨论了一类以线性弹性动力学方程组为主部,而非线性项含有u的一次幂时的拟线性双曲型方程组Cauchy问题经典解的整体存在性.     

一般加载规律的弹塑性本构关系

将有关文献给出一般加载规律一维全量理论的简单模型推广到一般加载规律的一维增量理论,进而推广到一般加载规律的多维增量理论,在此基础上,建立了推导一般加载规律的多维增量理论的本构关系的一种途径。应用这种途径,从应力空间的加载函数和应变空间的加载函数出发,推导了等向强化材料和被加热的等向强化材料的一般加载规律的弹塑性本构关系的两种表示形式。理论和实例均表明,这种途径对等向强化材料、随动强化材料和理想弹塑性材料均适用。     

Elastic and elasto‐optical properties of Rb1–x(NH4)xH2AsO4 mixed crystals studied by Brillouin spectroscopy

The elastic and elasto‐optical properties of Rb_1–x (NH₄)_x H₂AsO₄ mixed crystals were studied by Brillouin spectroscopy at room temperature. The measurements were made on single crystals obtained from the aqueous solution by slow evaporation. The behaviour of bulk phonons propagating in investigated crystals was studied for different polarisations of incident and scattered beam. The components of the tensors of elasto‐optical and elastic properties of the crystals studied were determined. (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

结构钢损伤本构关系的研究

回顾了结构钢损伤模型的发展史,提出了一种新的本构模型－结构钢弹塑性各向异性损伤本构模型,该模型采用混合强化准则,考虑Bauschinger效应,屈服平台、硬化（软化）效应及损伤和损伤演化影响。算例分析结果表明本文模型能够客观地反映结构钢在循环荷载作用下的工作性能、适用于进行钢结构及构件在循环荷载作用下弹塑性反应分析。     

内压柱壳在激光束照射下热爆破数值模拟

为研究内压圆柱壳在激光束照射下的破坏现象提出了一个高效可行的数值分析模型 :采用了子结构方法把非线性区局限在较小的范围 ;采用了与应变速率有关的耦合的热传导分析 ;考虑了材料物理性质随温度的变化 ;考虑了热变形对结构刚度和荷载的几何非线性效应 ;考虑了内压是予先加载以及随后的热弹塑性过程。数值结果与文献 [1 ]的实验大致吻合     

弹塑性问题参数二次规划分析的隐式算法

传统的二次规划算法求解弹塑性问题时一般要经过对问题的线性化,如对屈服条件的一阶近似展开等,这在一定程度上会造成数值解的误差。为此,本文提出一种改进的策略,引入迭代与规划算法相结合的技术对问题进行处理,算法收敛平稳迅速,在大步长荷载增量下使算法的精度大大提高。由于本文的算法属于隐式算法,因而也就弥补了原二次规划算法求解弹塑性问题时只有显式算法的不足,从而达到了对原算法的进一步完善。