Researchers show that Cartan's First Structure Equation, which relates to edge and screw dislocations in crystal lattices, can be recast in the same form as a basic mathematical formula that governs ...

Dislocation density characterisation underpins our understanding of plastic deformation in metals and the design of stronger, more durable alloys. Dislocations—line defects within the crystal ...

A fundamental goal of physics is to explain the broadest range of phenomena with the fewest underlying principles. Remarkably, seemingly disparate problems often exhibit identical mathematical ...

For nearly a century, scientists have understood how crystalline materials—such as metals and semiconductors—bend without breaking. Their secret lies in tiny, line-like defects called dislocations, ...