Continuous accretion of a composite cylinder
Continuous accretion of a composite cylinder
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DOI：
10.1007/bf01463163
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发表时间：
1998-01-01
期刊：
影响因子：
2.7
通讯作者：
Drozdov, AD
中科院分区：
文献类型：
--
作者：
Drozdov, AD
推导了有限应变复合材料厚壁圆柱体缠绕的新模型。圆柱体的连续生长被视为由纤维束和树脂组成的堆积部分（薄壁壳）连续增长的极限。由于纤维的预紧力，圆筒中会产生压力梯度，从而导致树脂流动。建立了非线性偏微分方程，允许在考虑材料增生和树脂的情况下确定缠绕圆柱体中的应力和位移。在无穷小的应变下，这些方程被简化为心轴压力的线性 Volterra 积分方程。通过数值求解该方程，可以分析材料和结构参数对缠绕圆柱体中应力的影响。
A new model is derived for winding of a composite thick-walled cylinder with finite strains. Continuous growth of a cylinder is treated as a limit of successive accretion of built-up portions (thin-walled shells) consisting of a fiber bundles and resin. Due to preload of fibers, a gradient of pressure arises in the cylinder which causes resin flow. Nonlinear partial differential equations are developed which permit stresses and displacements in a wound cylinder to be determined with account for the material accretion and resin now. At infinitesimal strains, these equations are reduced to a linear Volterra integral equation for pressure on mandrel. This equation is solved numerically to analyze the effect of material and structural parameters on stresses in a wound cylinder.