Continuum Mechanics 13 - The Tensor Transformation Law
Автор: Win Academia
Загружено: 2025-12-27
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What defines a Tensor?
It isn't just a grid of numbers; it is a physical entity that follows a specific Transformation Law when we change our point of view.In this lecture, we derive the rule for how the components of a second-order tensor (like the Stress or Strain tensor) change when we rotate our coordinate system. We move from the vector transformation rule (v' = Qv) to the double-index transformation rule for tensors: {A}' = {Q A Q}^T.
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