Energy-momentum time integration of gradient-based models for fiber-bending stiffness in anisotropic thermo-mechanical continua
Energy-momentum time integration of gradient-based models for fiber-bending stiffness in anisotropic thermo-mechanical continua
复制标题
各向异性热机械连续体中纤维弯曲刚度梯度模型的能量动量时间积分
DOI：
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
I. Kalaimani
中科院分区：
文献类型：
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作者：
J. Dietzsch;M. Groß;I. Kalaimani
三维纤维增强材料在轻质结构中的精确动态模拟激发了我们的研究活动。为了实现这一点，材料加固是通过具有单独弯曲刚度的纤维粗纱来执行的，这可以由变形映射的二阶梯度来建模(参见参考文献[10])。利用一个独立的右柯西-格林张量梯度场，我们推广了单纤维纤维基复合材料的热弹性柯西连续体。此外，我们使用高精度的高阶能量-动量格式并结合混合有限元方法来获得数值稳定的长期动态模拟和锁定自由网格。因此，我们在基于变分的时空有限元方法中引入了已知的和新的混合有限元的附加独立场，并使其适应于新的材料公式。我们以Cook的悬臂梁作为典型的数值算例。我们主要分析了光纤弯曲刚度以及空间和时间收敛到三次数量级的影响，但也考虑了傅立叶导热在矩阵和纤维族中的影响。1连续介质模型作为连续介质模型，我们考虑纤维漫游方向为0的各向异性材料，在环境温度Θ∞不变的情况下，在欧几里德空间Rndim中运动。品系
Accurate dynamic simulations of 3D fiber-reinforced materials in lightweight structures motivate our research activities. In order to accomplish this, the material reinforcement is performed by fiber rovings with a separate bending stiffness, which can be modelled by a second-order gradient of the deformation mapping (see Reference [10]). With an independent field for the gradient of the right Cauchy-Green tensor, we extend the thermoelastic Cauchy continuum for fiber-matrix composites with single fibers. In addition, we use accurate higherorder energy-momentum schemes in combination with mixed finite element methods to obtain numerically stable long-term dynamic simulations and locking free meshes. Therefore, we introduce additional independent fields of well-known as well as new mixed finite elements within a variational-based space-time finite element method and adapt it to the new material formulation. We use Cook’s cantilever beam as representative numerical example. We primarily analyze the influence of the fiber bending stiffness as well as the spatial and time convergence up to cubic order, but also look at the influence of Fourier’s heat conduction in the matrix and fiber families. 1 CONTINUUM MODEL As continuum model, we consider an anisotropic material with the fiber roving direction a0, moving in the Euclidean space Rndim with the constant ambient temperature Θ∞. The strain
具有粘弹性纤维束和曲率扭转刚度的复合材料的钻孔自由度的非等温能量动量时间积分
影响因子：
7.2
作者：
Groß M;Dietzsch J;Röbiger C.
通讯作者：
Röbiger C.