基于近场动力学方法的含缺陷板Ⅰ型应力强度因子计算

针对含多缺陷板脆性断裂问题,引入非局部近场动力学理论,结合J积分计算含缺陷板Ⅰ型应力强度因子。通过含Ⅰ型单裂纹脆性板以及系列含等长双裂纹板的应力强度因子计算,验证该方法的可行性和计算精度。进一步应用于含不等长双裂纹、含孔及孔边裂纹脆性板的应力强度因子计算,验证了该方法对于计算含复杂缺陷板Ⅰ型应力强度因子的适用性,并分析了裂纹位置和长度及孔径等多缺陷板裂尖应力强度因子的影响。     

基于Beam-based近场动力学模型的材料冲击响应研究

采用近场动力学方法研究材料冲击破坏动态行为,针对常规键基近场动力学模型对材料泊松比的限制,借鉴有限元Euler-Bernoulli梁单元模型,在键基近场动力学模型的基础上加入物质点间相对转动效应,建立了新型Beam-based近场动力学本构模型,推导了二维和三维条件下Beam-based近场动力学模型微弹性模量矩阵。为了验证新型模型在冲击动力学中的适用性,研究了不同泊松比矩形板的二维冲击响应,结果表明矩形板位移响应与有限元结果一致。建立了三维Kalthoff-Winkler冲击破坏模型,获得了裂纹扩展角度和发展过程,结果表明:该文模拟的裂纹扩展过程与实验结果符合较好,新型Beam-based近场动力学模型有效拓展了传统键基模型的应用范围,并为冲击动力学问题研究提供了一条新的途径。     

A peridynamic Reissner-Mindlin shell theory

In this work, we have developed a state-based peridynamics theory for nonlinear Reissener-Mindlin shells to model and predict large deformation of shell structures with thick wall. The nonlocal peridynamic theory of solids offers an integral formulation that is an alternative to traditional local continuum mechanics models based on partial differential equations. This formulation is applicable for solving the material failure problems involved in discontinuous displacement fields. The governing equations of the state-based peridynamic shell theory are derived based on the nonlocal balance laws by adopting the kinematic assumption of the Reissner and Mindlin plate and shell theories. In the numerical calculations, the stress points are employed to ensure the numerical stability. Several numerical examples are conducted to validate the nonlocal structure mechanics model and to verify the accuracy as well as the convergence of the proposed shell theory.     

Dual‐horizon peridynamics

In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally includes varying horizon sizes and completely solves the ‘ghost force’ issue. Therefore, the concept of dual horizon is introduced to consider the unbalanced interactions between the particles with different horizon sizes. The present formulation fulfills both the balances of linear momentum and angular momentum exactly. Neither the ‘partial stress tensor’ nor the ‘slice’ technique is needed to ameliorate the ghost force issue. We will show that the traditional peridynamics can be derived as a special case of the present DH‐PD. All three peridynamic formulations, namely, bond‐based, ordinary state‐based, and non‐ordinary state‐based peridynamics, can be implemented within the DH‐PD framework. Our DH‐PD formulation allows for h‐adaptivity and can be implemented in any existing peridynamics code with minimal changes. A simple adaptive refinement procedure is proposed, reducing the computational cost. Both two‐dimensional and three‐dimensional examples including the Kalthoff–Winkler experiment and plate with branching cracks are tested to demonstrate the capability of the method. Copyright © 2016 John Wiley & Sons, Ltd.     

A generalized model for dynamic mixed-mode fracture via state-based peridynamics

A generalized model is developed to investigate dynamic crack propagation in isotropic solids under mixed-mode I/II conditions using state-based peridynamics. The critical stretch and the critical strain energy release rate (ERR) are related within the state-based peridynamic framework to construct a computational model capable of capturing fracture energy of the kinked cracks. A novel formulation is presented to predict crack growth trajectory and pattern by combining the traditional expression of ERR and the peridynamic states of the crack opening and sliding displacements. The proposed model is used to predict dynamic fracture behavior in polymethyl methacrylate (PMMA) and soda-lime glass using various test specimens, including cracked semi-circular bending (SCB), cracked rectangular plate, and single edge-notched tensile (SENT) specimens, and under different dynamic loading conditions. The developed model is examined against the numerical and experimental data available in the literature, and a very good agreement is observed.     

炸药晶粒包覆结构对PBX动态损伤影响的近场动力学模拟

为了研究包覆结构对高聚物粘结炸药(PBX)动态损伤的影响,基于非局域近场动力学理论(Peridynamics, PD),结合Voronoi方法构建了含单层或双层包覆结构的高聚物粘结炸药(Polymer bonded explosive, PBX)的PD计算模型,模拟了不同加载条件下PBX的损伤响应。模拟结果显示,采用粘接剂1包覆时,相比于单层包覆而言,当加载速度分别为20,40 m·s^-1和60 m·s^-1时,双层包覆结构使HMX晶粒的损伤分别降低了42.8%,87.2%和46.8%,明显降低了PBX中HMX晶粒的损伤。HMX晶粒采用单层包覆结构时,损伤模式主要表现为穿晶损伤,采用双层包覆结构时,损伤模式转变为沿晶损伤。研究还得到了双层包覆结构下不同包覆材料对HMX损伤影响的定量结果,并据此得到了不同包覆结构的性能排序。同时发现包覆结构能够影响HMX晶粒内应力状态,从而影响HMX损伤程度。     

Peridynamic investigation on thermal fracturing behavior of ceramic nuclear fuel pellets under power cycles

A coupled thermo-mechanical bond-based peridynamic model is developed to investigate thermal fracturing behaviors, including random initiation and subsequent propagation of interacting thermal cracks, in ceramic nuclear pellets under power cycles. To go beyond the differences of typical time scales between thermal and mechanical systems, a multi-rate time integration scheme is introduced to the numerical model. A penalty method for contact between the fuel pellets and cladding is also incorporated into the coupled model. Two benchmark examples are provided to prove the correctness and accuracy of the proposed numerical model. Thermo-mechanical fracturing behaviors of fuel pellets under power cycles are then investigated using the coupled bond-based peridynamics, that can accurately predict realistic thermal crack patterns, including both radial and circumferential cracks. From the numerical results, it is found that radial cracks occur during power rises, but circumferential cracks initiate when the power is ramped down. The numerical results are in good agreement with previous experimental observations. In addition, the influence of cyclic power amplitude, cyclic power rate, cyclic power types, and convective heat transfer between fuel pellets and cladding on thermal fracturing behaviors of fuel pellets are studied. The numerical results can provide references for the design of nuclear fuel pellets.     

基于神经网络的裂纹扩展过程预测

提出基于神经网络的裂纹扩展过程实时预测方法,其计算效率比近场动力学(peridynamic,PD)模型提高.使用PD算法获取裂纹扩展过程中的损伤云图,构建裂纹扩展数据集.基于数据集构建生成对抗网络(generative adversarial networks,GAN)模型,根据不同加载条件实时生成损伤云图,从而快速预测裂纹的扩展过程.将PD模型计算得到的损伤云图中的RGB值与相应位置处的损伤值结合,构建多层前馈神经网络模型的数据库,并使用多层前馈神经网络模型分析GAN模型产生的损伤云图,得到相应的损伤值.通过数值算例证明该方法的效率和准确性.     

An implicit dual-based approach to couple peridynamics with classical continuum mechanics

A general local/nonlocal implicit coupling technique called the dual-based approach is proposed to couple peridynamics (PD) with classical continuum mechanics. In the present method, physical information is transmitted mutually from local to nonlocal regions through the coupling elements; no transition region is introduced. For different mesh discretizations, two coupling methods are achieved with simplicity and effectivity. To obtain the stiffness matrix of the coupled model, without loss of generality, the implicit dual-horizon ordinary state-based peridynamic model is proposed, in which the linearization of dual-horizon ordinary state-based PD is derived and the dual assembly algorithm of the peridynamic stiffness matrix is developed. It will be seen that the implicit dual-based coupling approach provides a new implicit coupling method that is easy to implement and makes full use of the internal connection between PD and classical continuum mechanics. Several numerical examples involving static crack propagation are investigated, and the satisfactory results show both quantitative and qualitative agreement with either the analytic solution or the available experiment.     

冰球冲击试验的近场动力学方法数值模拟

为了研究近场动力学方法在模拟冰体高应变率破坏行为的可靠性,基于近场动力学理论通过自编程实现对冰球高速冲击力学行为的数值模拟,将计算结果和试验结果进行对比。结果发现:近场动力学方法能准确模拟冰球冲击过程下高应变率破坏的完整过程,对球体表面裂纹扩散以及冰球整体裂解的细节模拟十分到位,且在20~60 m/s速度范围内对冲击载荷预报的幅值最大误差18.2%,均值最大误差18.4%;同时,发现在20~60 ms/中低速冲击过程中,冰球破坏以半球切面为界限,靠近冲击面的下半球体呈粉碎性破坏,上半球体呈碎片状破坏,当冲击速度大于60 m/s后,继续增大速度会使上半球体破坏程度剧烈增大;当冲击速度大于100 m/s,上下半球都呈粉碎状破坏。