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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >Piercing soft solids: A mechanical theory for needle insertion
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Piercing soft solids: A mechanical theory for needle insertion

机译：刺穿软固体：针插入的机械理论

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摘要

In this paper we investigate the mechanical problem of piercing a soft solid body with a needle. This phenomenon is controlled by the critical condition of needle insertion. Needle insertion involves physical and geometrical nonlinearities and a complex failure mechanism. To overcome the complexity of the problem, we describe needle insertion as a sharp transition between two needle-specimen configurations, namely 'indentation' and 'penetration'. The sharp configurational change emerges from a mechanical instability and follows the principle of energy minimum. We describe the needle-specimen system in terms of the force applied to the back of the needle and the axial displacement of the needle tip toward the material. At small needle displacements, the energetically favoured configuration is indentation. Conversely, when the needle displaces beyond a critical threshold, it penetrates the specimen by rupturing its surface. This creates a new energetically favoured configuration: penetration. Our analysis considers a cylindrical needle with a spherical tip, neglects friction and adhesion between the needle and the material, and assumes quasi-static conditions. Despite the mathematical simplicity of our analysis, our theoretical pre-dictions on the needle insertion force have been validated against experiments with surprising accuracy. Our method provides an effective predictive tool, which can be extended to account for different indenter geometry and material behavior.
机译：在本文中，我们调查用针刺刺穿柔软固体体的机械问题。这种现象由针插入的临界条件控制。针插入涉及物理和几何非线性和复杂的故障机制。为了克服问题的复杂性，我们描述了针插入作为两个针刺配置之间的急剧过渡，即“压痕”和“穿透”。尖锐的配置变化从机械不稳定中出现，并遵循最低能量原理。我们在施加到针后部的力和针尖向材料的轴向位移方面描述针刺系统。在小针位移时，能量最有利的配置是缩进。相反，当针头超出临界阈值时，它通过破裂其表面来穿透样品。这会创建一个新的能量最受欢迎的配置：渗透。我们的分析认为具有球形尖端的圆柱针，忽略针和材料之间的摩擦和粘附，并呈现准静态条件。尽管我们分析的数学简单，但我们对针插入力的理论预测性已经验证了以惊人的准确性的实验。我们的方法提供了一种有效的预测工具，可以扩展到占不同的缩进几何形状和材料行为。

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