Fracture and material strength

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SUMMARY

The discussion centers on the fracture behavior of crystalline diamond under varying pressure applications. Gabriele presents a scenario where a compressive strength of 110 GPa is applied over a 1 m² area versus a localized area of 1 mm². The consensus is that the mode of load application significantly influences fracture outcomes, with localized pressure potentially requiring different strength criteria than uniform pressure. The Flamant solution is referenced as a relevant framework for understanding these dynamics.

PREREQUISITES
  • Understanding of compressive strength and material properties
  • Familiarity with fracture mechanics concepts
  • Knowledge of the Flamant solution in applied mechanics
  • Basic principles of stress distribution in materials
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  • Research the Flamant solution for forces acting on a half-plane
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  • Explore fracture mechanics principles in crystalline materials
  • Investigate the impact of geometry and support arrangements on material strength
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Material scientists, mechanical engineers, and anyone involved in the study of fracture mechanics and material strength, particularly in relation to crystalline structures like diamond.

g_mogni
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Let's assume I have a large block of crystalline diamond, with reported compressive strength of 110 GPa. If the cross-sectional area of the block is 1 m2, then obviously if I apply a force of 110x10^9 N the material will begin to fracture. But what if the pressure of 110 GPa is applied locally over a tiny area of say 1 mm2, will the diamond block fracture locally or do other strength criteria apply in this case? My intuition tells me that a pressure applied locally will have a much harder time fracturing the whole block of material than a uniform pressure of the same magnitude applied across the whole cross-sectional area...

Thanks,

Gabriele
 
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Multiple possibilities . Depends on how load is applied and on the material properties , geometry and support arrangements for the block .

Have you a specific problem in mind ?
 

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