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Developments and Novel Approaches in Nonlinear Solid Body Mechanics最新文献

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Characterization of Polystyrene Under Shear Deformation Using Molecular Dynamics 剪切变形下聚苯乙烯的分子动力学表征
Pub Date : 2021-07-14 DOI: 10.1007/978-3-030-50460-1_14
M. Ries, P. Steinmann, S. Pfaller
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引用次数: 5
Manufacturing and Morphing Behavior of High-Amplitude Corrugated Laminates 高振幅波纹层压板的制造与变形行为
Pub Date : 2019-06-16 DOI: 10.3929/ETHZ-B-000350014
G. Kress, D. Filipovic
Unidirectionally fiber-reinforced materials are highly orthotropic with respect to stiffness, strength, or thermal expansion. Flat and unsymmetric laminates made of such materials will become curved when temperature changes. As fiber reinforced plastics (FRP) are typically processed at elevated temperatures, i.e. curing of thermoset and melting of thermoplastic materials, the temperature-induced curvature will appear at service temperatures. This chapter explains in Sections 15.2 through 15.8 how the effect can be used to create corrugated laminates where the corrugation shape consists of circular sections with or without undercuts. The deformations occurring after releasing the cured laminates from the flat lamination surface, as well as the morphing behavior, imply large deformations which we address with an analytic nonlinear morphing model explained in Sections 15.9 through 15.11. All modeling relies on periodicity of the corrugation pattern and large extension along the direction transverse to the corrugations. The nonlinear deformations within one representative unit cell are found by integration of curvature and strain that depend on internal line reactions, and these in turn must be in equilibrium with external morphing force. The equilibrium residual is removed by using the Newton minimization method. The verified model is used to simulate morphing deformation and to study the influence of laminate thickness and corrugation amplitude on line-force-stretch diagrams.
单向纤维增强材料在刚度、强度或热膨胀方面具有高度的正交异性。由这种材料制成的平面和非对称层压板在温度变化时会弯曲。由于纤维增强塑料(FRP)通常是在高温下加工的,即热固性材料的固化和热塑性材料的熔化,在使用温度下会出现温度诱导曲率。本章在15.2至15.8节中解释了如何使用这种效果来制作波纹层压板,其中波纹形状由带或不带凹口的圆形部分组成。从平面层压表面释放固化层压板后发生的变形,以及变形行为,意味着大的变形,我们在15.9到15.11节中解释了一个解析非线性变形模型。所有的建模都依赖于波纹图案的周期性和沿波纹横向方向的大延伸。一个具有代表性的单元胞内的非线性变形是通过曲率和应变的积分来发现的,它们依赖于内线反应,而这些又必须与外部变形力保持平衡。利用牛顿最小化法去除平衡残差。利用验证的模型模拟变形,研究了层合板厚度和波纹幅值对线力-拉伸图的影响。
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引用次数: 1
On the Behavior of Solutions of Quasilinear Elliptic Inequalities Near a Boundary Point 边界点附近拟线性椭圆不等式解的性质
Pub Date : 2019-04-06 DOI: 10.1007/978-3-030-50460-1_7
A. Kon'kov
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引用次数: 0
期刊
Developments and Novel Approaches in Nonlinear Solid Body Mechanics
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