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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Non-isothermal energy-momentum time integrations with drilling degrees of freedom of composites with viscoelastic fiber bundles and curvature-twist stiffness
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Non-isothermal energy-momentum time integrations with drilling degrees of freedom of composites with viscoelastic fiber bundles and curvature-twist stiffness

机译：非等温能量 - 动力时间与粘弹性纤维束和曲率扭曲刚度的钻孔自由度的钻孔自由度

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摘要

3D fiber-reinforced composites demand for a special simulation technique, because they consist of fiber bundles. Therefore, in the corresponding representative volume element of these metamaterials, secondary effects as a micro inertia and a curvature-twist stiffness have to bear in mind. The latter increases the strength-to-weight ratio of thin-walled lightweight structures due to a separate twisting and bending stiffness of the fiber bundles. In this paper, these secondary effects are introduced in a continuum formulation by means of independent drilling degrees of freedom. The resulting non-isothermal constrained micropolar continuum is derived by a principle of virtual power, which simultaneously generates in the discrete setting a mixed B-bar method and a Galerkin-based energy-momentum scheme of higher order. This work also takes into account viscoelastic material behavior in the fiber bundles, which arises from a mixture of organic and inorganic fibers. Here, the viscous evolution equation is solved elementwise by using a mixed field as viscous internal variable. Representative numerical examples demonstrate the inelastic material behavior, the effect of micro inertia on the physical properties of the continuum as well as on its space and time discretization and, finally, the twisting and bending stiffness of the fiber bundles. Further, non-standard boundary conditions are applied in the dynamic simulations performed by higher order energy-momentum schemes. (C) 2020 Elsevier B.V. All rights reserved.
机译：3D光纤增强复合材料对特殊仿真技术的需求，因为它们由光纤捆绑组成。因此，在这些超材料的相应代表性体积元素中，次要效果作为微惯性和曲率 - 扭曲刚度必须记住。由于纤维束的单独扭转和弯曲刚度，后者增加了薄壁轻质结构的强度重量比。在本文中，通过独立钻井自由度在连续体制度中引入了这些二次效应。由此产生的非等温约束的微基马连续体由虚拟功率的原理推导，其同时在离散的设置中产生混合的B杆方法和高阶的基于Galerkin的能量动量方案。这项工作还考虑了纤维束中的粘弹性材料行为，其由有机和无机纤维​​的混合物产生。这里，通过使用混合场作为粘性内部变量来求解粘性进化方程。代表性的数值示例证明了非弹性材料的行为，微惯性对连续体的物理性质以及其空间和时间离散化的影响，最后，纤维束的扭曲和弯曲刚度。此外，在由高阶能量动量方案执行的动态模拟中应用非标准边界条件。 （c）2020 Elsevier B.v.保留所有权利。

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