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Modes of failure in disordered solids.

Subhadeep Roy1,2, Soumyajyoti Biswas3, Purusattam Ray1

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This study classifies failure modes in disordered solids by analyzing heterogeneity strength and affected region length scale. A new phase diagram guides understanding and predicting material responses under stress.

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Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Solid Mechanics

Background:

  • Disordered solids exhibit complex failure modes influenced by material heterogeneity and local damage.
  • Understanding these failure modes is crucial for predicting material behavior under stress.
  • Existing models often focus on extreme cases, lacking a unified framework.

Purpose of the Study:

  • To classify and understand the interplay between heterogeneity strength and affected region length scale in determining failure modes of disordered solids.
  • To develop a general phase diagram for disordered solids based on the random fiber bundle model.
  • To provide a framework for interpreting and unifying previous theoretical and experimental findings.

Main Methods:

  • Utilized the random fiber bundle model as a prototype for disordered solids.
  • Classified failure modes based on the interaction of heterogeneity strength and affected region length scale.
  • Derived scaling criteria for different failure modes.
  • Constructed a general phase diagram.

Main Results:

  • Identified and classified distinct failure modes arising from the interplay of heterogeneity and length scale.
  • Established scaling criteria that govern the transition between different failure modes.
  • Developed a comprehensive phase diagram illustrating the landscape of failure modes.
  • Demonstrated the utility of the random fiber bundle model in this classification.

Conclusions:

  • The proposed phase diagram offers a unifying framework for understanding failure modes in disordered solids.
  • The findings provide a guiding principle for anticipating the mechanical responses of various disordered materials.
  • This work bridges theoretical models and experimental observations in the study of material failure.