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<p>The Mode I problem for a semi-infinite crack in an infinite clamped strip, introduced by James R. Rice, is ideal for demonstrating the power of energy methods. This configuration is also appealing to experimentalists, as it is characterized by the energy release rate that does not change as the crack grows. However, under plane strain conditions, the problem leads to an anomalous solution for the energy release rate for incompressible materials. This anomaly is explained and resolved by considering the problem for a long crack in a long strip. The new solution is valid for compressible, nearly incompressible, and incompressible materials.</p>

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A long crack in a long clamped strip

  • 期刊论文

  • 发表日期：

    2025年7月18日

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  • Gregory J. Rodin

摘要

The Mode I problem for a semi-infinite crack in an infinite clamped strip, introduced by James R. Rice, is ideal for demonstrating the power of energy methods. This configuration is also appealing to experimentalists, as it is characterized by the energy release rate that does not change as the crack grows. However, under plane strain conditions, the problem leads to an anomalous solution for the energy release rate for incompressible materials. This anomaly is explained and resolved by considering the problem for a long crack in a long strip. The new solution is valid for compressible, nearly incompressible, and incompressible materials.