Finite Element simulation of dense wire packings
Finite Element simulation of dense wire packings
复制标题
密集线材填料的有限元模拟
DOI：
10.1016/j.euromechsol.2012.06.007
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发表时间：
2011
影响因子：
4.1
通讯作者：
Hans Jürgen Herrmann
中科院分区：
文献类型：
--
作者：
Roman Vetter;F. Wittel;N. Stoop;Hans Jürgen Herrmann
编制了有限元程序，模拟弹性丝在二维和三维约束腔内的包装和盘绕过程。线被表示为三阶梁单元，并嵌入到一个共转公式捕捉几何非线性所造成的大的旋转和变形。双曲型运动方程的时间积分使用两种不同的积分方法从Newmark家庭：一个隐式迭代牛顿-拉夫森线搜索求解器，和一个明确的预测-校正计划，都与自适应时间步进。这两种方法揭示了从根本上不同的适用性的问题，强烈的自我相互作用的机构发现密集的空腔。推广了球形约束对称性的研究，在无摩擦弹性极限下模拟了金属丝在硬椭球腔中的填充。有证据表明，包装在扁球体和不等边椭球体积极首选的领域。
A finite element program is presented to simulate the process of packing and coiling elastic wires in two- and three-dimensional confining cavities. The wire is represented by third order beam elements and embedded into a corotational formulation to capture the geometric nonlinearity resulting from large rotations and deformations. The hyperbolic equations of motion are integrated in time using two different integration methods from the Newmark family: an implicit iterative Newton–Raphson line search solver, and an explicit predictor–corrector scheme, both with adaptive time stepping. These two approaches reveal fundamentally different suitability for the problem of strongly self-interacting bodies found in densely packed cavities. Generalizing the spherical confinement symmetry investigated in recent studies, the packing of a wire in hard ellipsoidal cavities is simulated in the frictionless elastic limit. Evidence is given that packings in oblate spheroids and scalene ellipsoids are energetically preferred to spheres.