Advanced Mechanics of Solids

Content covered from Aug 3-Aug 16 2015 with the source:

Gradient (Formal definition +Physical Interpretation)Source: Lecture Notes

Divergence (Formal definition +Physical Interpretation)Source: Lecture Notes

Tensor (Formal definition)Source: Notes & Section 1.5 of Book

Delta and alternating symbol Source: Section 1.3 of Book

Vector Transformation RuleSource: Section 1.4 of Book or Lecture Notes

Mathematical definition of strainSource: Lecture Notes

Geometrical construction of strainSource: Section 2.2 of Book

Strain compatibility (continuous + differentiable displacements)Source: Section 2.6 of Book only until Equation 2.62 (not beyond it)

Strain compatibility (single-valued/proven through path-independence + simply-connected)Source: Lecture Notes

Note: “Book” refers to ‘Elasticity, Third Edition: Theory, Applications, and Numerics’ by Martin Sadd (available as “reference book” at the library)