• 主题
高级搜索  >
历史搜索 清空历史
首页> 美国卫生研究院文献>Proceedings. Mathematical Physical and Engineering Sciences >An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems
【2h】

An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems

机译：单向纤维增强介质均质化的积分方程法；反平面弹性和其他潜在问题

代理获取
本网站仅为用户提供外文OA文献查询和代理获取服务，本网站没有原文。下单后我们将采用程序或人工为您竭诚获取高质量的原文，但由于OA文献来源多样且变更频繁，仍可能出现获取不到、文献不完整或与标题不符等情况，如果获取不到我们将提供退款服务。请知悉。
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In Parnell & Abrahams (2008 Proc. R. Soc. A >464, 1461–1482. ()), a homogenization scheme was developed that gave rise to explicit forms for the effective antiplane shear moduli of a periodic unidirectional fibre-reinforced medium where fibres have non-circular cross section. The explicit expressions are rational functions in the volume fraction. In that scheme, a (non-dilute) approximation was invoked to determine leading-order expressions. Agreement with existing methods was shown to be good except at very high volume fractions. Here, the theory is extended in order to determine higher-order terms in the expansion. Explicit expressions for effective properties can be derived for fibres with non-circular cross section, without recourse to numerical methods. Terms appearing in the expressions are identified as being associated with the lattice geometry of the periodic fibre distribution, fibre cross-sectional shape and host/fibre material properties. Results are derived in the context of antiplane elasticity but the analogy with the potential problem illustrates the broad applicability of the method to, e.g. thermal, electrostatic and magnetostatic problems. The efficacy of the scheme is illustrated by comparison with the well-established method of asymptotic homogenization where for fibres of general cross section, the associated cell problem must be solved by some computational scheme.
机译：在Parnell＆Abrahams（2008 Proc。R. Soc。A > 464 ，1461–1482。（））中，开发了一种均质化方案，该方案产生了显式形式的有效抗平面剪切模量纤维具有非圆形横截面的单向纤维增强介质。显式是体积分数中的有理函数。在该方案中，调用（非稀释）近似值来确定前导表达式。与现有方法的一致性被证明是很好的，只是体积分数很高。在这里，理论被扩展以便确定扩展中的高阶项。对于具有非圆形横截面的纤维，无需求助于数值方法，就可以得出有效性能的明确表达式。表达式中出现的术语被标识为与周期性纤维分布的晶格几何形状，纤维横截面形状和主体/纤维材料特性相关。结果是在抗平面弹性的背景下得出的，但是与潜在问题的类比说明了该方法在例如汽车上的广泛适用性。热，静电和静磁问题。通过与已建立的渐近均质化方法进行比较，说明了该方案的有效性，在该方法中，对于大横截面的纤维，必须通过某种计算方案来解决相关的细胞问题。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
代理获取

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号