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随机材料属性与孔隙率生成插件:ABAQUS软件中实现周期性建模

随机材料属性与孔隙率生成插件:ABAQUS软件中实现周期性建模

导读

在细观力学均质化分析中,无论是建立代表性体积单元(RVE)进行周期性边界条件下的等效性能预测,还是构建含随机夹杂、孔隙的宏观均质模型,往往都需要高效、可控地生成多相材料的随机分布。但当网格是非结构化的(比如四面体自由网格)时,模型相对表面的节点几乎不可能完全对称。

常规的随机分配方法处理这类网格时,很容易截断跨边界的夹杂物或孔隙,导致周期性约束方程封闭困难、求解不收敛,或者计算结果中的力学响应偏离实际。为了解决这个问题,我们编写了这款参数化前处理工具,借助空间拓扑关联的思路,让自由网格也能满足周期性建模的需求。

图1. 随机材料属性(左图)与孔隙率(右图)生成插件效果


一、算法要点

1.1. 真实表面识别与过滤

自由网格里,内部单元有时仅靠一个顶点或一条边接触到模型边界。如果单纯按节点坐标判断,会冒出不少“伪边界”单元。工具内部通过向量叉乘面积检验来处理:遍历边界节点的连接关系,计算它们围出的拓扑多边形面积,只有面积大于预设容差的才被认定为真实表面单元。这样一来,那些仅仅在边界上“搭边”的内部单元就被过滤掉了。

1.2. 二维投影与最近邻匹配映射

当相对面网格节点对不齐时,工具提取真实表面单元的面心坐标,沿该面法向投影到二维平面上。然后,在投影坐标系下采用最近邻搜索,自动找出对面投影距离最短的单元,作为“映射对应单元”。这种容差匹配的做法,绕开了传统方法要求节点严格重合的限制。

1.3. 基于并查集的群组绑定

根据周期理论,RVE模型的8个角点在空间阵列时本质上汇聚于同一物理点,12条对棱也有确定的对应关系。工具采用并查集结构,将空间上相关的面单元(2个一组)、棱单元(4个一组)和角点单元(8个一组)强制绑定在一起。后续分配或删除时,同组单元会同步赋予相同材料或同步移除,从几何层面保证微观孔隙与夹杂物跨过边界时保持连续。

图2. 插件界面图,可选择model,part,set集合,还可设置是否周期性,随机属性/单元删除实现孔隙率,设置网格分配比例


二、功能说明

2.1. 分配模式与体积分数控制

在界面中输入逗号分隔的比例值(如“1,9”),工具会统计目标区域内单元总数以及周期性群组数量,根据体积占比算出每种属性的分配数量。提供两种模式:

  • Standard (Random):标准随机模式,忽略边界对应关系,在目标区域内完全随机分配。

  • Periodic (RVE Mode):周期性模式,启用投影映射与并查集算法,确保边界上的材料分布满足周期要求。

2.2. 材料自动创建与赋予

当操作类型设为“Assign Materials”时,工具会根据设定比例,在Abaqus材料库中创建对应的材料(Material-1、Material-2等)及均匀实体截面,并自动指派到各单元集。默认赋予线弹性参数,后续可根据需要自行修改为塑性或损伤本构。

图3. 材料属性以及分配单元网格的自动创建

2.3. 孔隙的物理删除

为满足多孔介质渗透率或含缺陷材料评估的需要,工具支持直接删除单元。输入的比例即转化为“删除占比”与“保留占比”。由于Abaqus不允许直接删除依附于几何体的原生网格,工具内置了转换逻辑:检测到目标是原生网格时,会在后台生成一个剥离几何关系的纯网格部件(Orphan Mesh,命名带后缀 _Mesh),再在该独立网格上执行单元删除,剩余单元赋予基体材料。

2.4. 作用范围控制

分配或删除可以限定区域。既可选择作用于整个部件(Entire Part),也可只针对预先建立的某个单元集合(Specific Set)。这个功能适合构建带外皮层的多孔芯材,或施加局部缺陷。

2.5. 版本差异与授权

插件分为两个版本:

  • 基础版(公开发布):支持随机模型构建,材料比例分配与单元删除无限制,但目标区域仅限“Entire Part”,网格模式仅限“Standard (Random)”。

  • 专业版(需License):勾选“Specific Set (Pro)”或“Periodic (RVE Mode)”时,工具会校验设备机器码。需将 license.key 文件放在插件根目录,以解锁局部集合操作与周期性拓扑功能。

图4. 插件帮助说明


获取方式

关注本公众号,点亮“赞”、“推荐”和“分享”,后台回复关键词“随机孔隙”,即可下载基础版安装包。

关注我们:专注分享复合材料力学理论、高精度有限元仿真、先进损伤本构模型与机器学习前沿,持续为您速递领域顶刊热点。
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  1. CONNECT:[ UseTime:0.000504s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000555s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000241s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.008909s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000503s ]
  6. SELECT * FROM `set` [ RunTime:0.000370s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000566s ]
  8. SELECT * FROM `article` WHERE `id` = 673371 LIMIT 1 [ RunTime:0.006198s ]
  9. UPDATE `article` SET `lasttime` = 1780053417 WHERE `id` = 673371 [ RunTime:0.014212s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000283s ]
  11. SELECT * FROM `article` WHERE `id` < 673371 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000412s ]
  12. SELECT * FROM `article` WHERE `id` > 673371 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000648s ]
  13. SELECT * FROM `article` WHERE `id` < 673371 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003697s ]
  14. SELECT * FROM `article` WHERE `id` < 673371 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.007946s ]
  15. SELECT * FROM `article` WHERE `id` < 673371 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002014s ]
0.209827s