Continuum theory for elastic sheets formed by inextensible crossed elasticae

Steigmann David J.

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Continuum theory for elastic sheets formed by inextensible crossed elasticae

机译：不可伸展的交叉弹性形成的弹性片的连续理论

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An equilibrium theory for elastic surfaces formed by two families of intextensible fibers is developed. This extends the work of Wang and Pipkin, which accounts for the intrinsic flexural stiffness of the fibers, to include intrinsic twisting resistance. The constituent fibers behave mechanically like spatial Kirchhoff rods. These are regarded as being continuously distributed on the surface and convected by the underlying surface deformation as inextensible material curves.

机译：建立了由两类不可知纤维形成的弹性表面的平衡理论。这扩展了Wang和Pipkin的工作，该工作考虑了纤维的固有挠曲刚度，从而包括固有的抗扭曲性。组成纤维的机械性能类似于空间基尔霍夫棒。这些被认为是连续分布在表面上，并且由于潜在的表面变形而成为不可伸展的材料曲线。

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《International journal of non-linear mechanics》 |2018年第11期|324-329|共6页
作者
Steigmann David J.;
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Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA;

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Continuum theory for elastic sheets formed by inextensible crossed elasticae

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