论文标题
通过差异生长的薄超弹性板形状编程的理论方案
Theoretical scheme on shape-programming of thin hyperelastic plates through differential growth
论文作者
论文摘要
在本文中，提出了一种理论方案，用于通过差异生长通过差异生长来形成薄超弹性板。首先，从超弹性（新hookean）板的3D管理系统开始，通过串联的扩张和截断方法制定了一致的有限型板板方程系统。基于板方程系统，在无压力假设下研究了形状编程的问题。通过将板方程中的应力分量等同于零，得出了生长函数与板块目标形状的几何量之间的显式关系。然后，提出了形状编程的理论方案，该方案可用于识别与板的任意3D形状相对应的生长场。为了证明该方案的效率，研究了一些典型的例子。这些示例中的预测生长功能在数值模拟中采用，可以完全回收板的目标形状。当前工作中提出的形状编程方案适用于制造智能软设备。
In this paper, a theoretical scheme is proposed for shape-programming of thin hyperelastic plates through differential growth. First, starting from the 3D governing system of a hyperelastic (neo-Hookean) plate, a consistent finite-strain plate equation system is formulated through a series-expansion and truncation approach. Based on the plate equation system, the problem of shape-programming is studied under the stress-free assumption. By equating the stress components in the plate equations to be zero, the explicit relations between growth functions and geometrical quantities of the target shape of the plate are derived. Then, a theoretical scheme of shape-programming is proposed, which can be used to identify the growth fields corresponding to arbitrary 3D shapes of the plate. To demonstrate the efficiency of the scheme, some typical examples are studied. The predicted growth functions in these examples are adopted in the numerical simulations, from which the target shapes of the plate can be recovered completely. The scheme of shape-programming proposed in the current work is applicable for manufacture of intelligent soft devices.
