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arXiv 2609.22558cond-mat.mtrl-sci

脆性固体中的压缩劈裂:薄板起皱的逆过程

Compressive Splitting in Brittle Solids: The Inverse of Wrinkling in Sheets

  • Carnegie Mellon University(卡内基梅隆大学)
  • University of Colorado(科罗拉多大学)
  • Army Research Laboratory(陆军研究实验室)

机构由 AI 辅助整理,请以论文原文为准。

Maryam Khodadad, Francois Barthelat, John D. Clayton, George Gazonas, Kaushik Dayal

AI总结:

本研究揭示脆性固体压缩劈裂源于夹紧压板抑制泊松膨胀产生的内部拉应力,提出预测强度定律,并经多种材料验证,表明其为几何控制的弹性过程。

AI中文摘要:

轴向劈裂是脆性固体在压缩下的主导失效模式,但其力学起源仍不清楚。我们表明,夹紧的加载压板抑制了横向泊松膨胀,在试样内部产生边界诱导的拉应力——这是拉伸薄板中起皱的压缩类比。该机制提供了一种预测性强度定律,将轴向劈裂与拉伸强度、几何形状和围压联系起来。该定律针对从岩石到陶瓷的多种材料得到验证,确立了轴向劈裂是一种由几何控制的弹性过程,而非随机缺陷问题。

英文摘要:

Axial splitting is the dominant failure mode of brittle solids under compression, yet its mechanical origin remains unclear. We show that clamped loading platens suppress lateral Poisson expansion, generating boundary-induced tensile stresses at the specimen interior -- the compressive analog of wrinkling in stretched sheets. This mechanism provides a predictive strength law, relating axial splitting to tensile strength, geometry, and confinement pressure. This is validated against diverse materials ranging from rocks to ceramics, establishing axial splitting as a geometry-controlled elastic process rather than a stochastic flaw problem.

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