A Treatise on the Mathematical Theory of Elasticity
E451534
A Treatise on the Mathematical Theory of Elasticity is a foundational textbook in continuum mechanics that rigorously develops the mathematical framework for describing elastic deformation in solid materials.
All labels observed (2)
| Label | Occurrences |
|---|---|
| A Treatise on the Mathematical Theory of Elasticity canonical | 1 |
| Theory of Elasticity | 1 |
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
scientific textbook ⓘ treatise ⓘ |
| appliesTo |
elastic bodies
ⓘ
solid materials ⓘ |
| concerns |
equilibrium and stability of elastic bodies
ⓘ
mathematical modeling of elastic materials ⓘ relationship between stress and strain ⓘ |
| describedAs |
foundational textbook in continuum mechanics
ⓘ
rigorous development of mathematical framework for elasticity ⓘ |
| field |
applied mathematics
ⓘ
continuum mechanics ⓘ elasticity theory ⓘ solid mechanics ⓘ |
| focus |
continuum description of solid materials
ⓘ
mathematical formulation of elastic behavior ⓘ rigorous derivation of elasticity equations ⓘ |
| genre |
mathematics textbook
ⓘ
technical monograph ⓘ |
| goal |
to describe elastic deformation in solid materials
ⓘ
to provide a rigorous mathematical framework for elasticity ⓘ |
| importance |
foundational work in elasticity theory
ⓘ
influential in development of modern solid mechanics ⓘ standard reference in continuum mechanics ⓘ |
| intendedAudience |
advanced students of mechanics
ⓘ
engineers working on solid mechanics ⓘ researchers in applied mathematics ⓘ |
| subject |
boundary value problems in elasticity
ⓘ
elastic deformation of solid materials ⓘ elastic potentials ⓘ equations of equilibrium in elastic bodies ⓘ linear elasticity ⓘ mathematical theory of elasticity ⓘ strain energy in elastic materials ⓘ stress and strain in solids ⓘ tensor formulation of elasticity ⓘ theory of small deformations ⓘ |
| usesConcept |
Hooke's law in tensor form
NERFINISHED
ⓘ
constitutive relations ⓘ continuum hypothesis ⓘ strain tensor ⓘ stress tensor ⓘ |
| usesMethod |
partial differential equations
ⓘ
rigorous mathematical analysis ⓘ tensor calculus ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Theory of Elasticity