6533b836fe1ef96bd12a12ad
RESEARCH PRODUCT
A note on the higher order strain and stress tensors within deformation gradient elasticity theories: Physical interpretations and comparisons
Castrenze Polizzottosubject
Cauchy stress tensorApplied MathematicsMechanical EngineeringMathematical analysisGeometry02 engineering and technologyElasticity (physics)021001 nanoscience & nanotechnologyCondensed Matter PhysicsStrain gradient020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsModeling and SimulationFinite strain theoryGeneral Materials ScienceSingle rule0210 nano-technologyMathematicsdescription
Abstract Higher order strain and stress tensors encompassed within gradient elasticity theories are discussed with a particular concern to the physical meaning of double and triple stresses. A single rule is shown to hold for the physical interpretation of the indices of a higher order stress tensor both within distortion gradient and strain gradient theories, whereas the analogous Mindlin’s rule holds only within distortion gradient theories. Double and triple stresses are discussed separately with the aid of simple illustrative examples. A corrigendum to a previous paper by the author (IJSS 50 (2013) 3749–3765) is also presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-07-01 | International Journal of Solids and Structures |