Linear Elasticity - Mathematical Formulation

Mathematical Formulation

Equations governing a linear elastic boundary value problem are based on three tensor partial differential equations for the balance of linear momentum and six infinitesimal strain-displacement relations. The systems of differential equations is completed by a set of linear algebraic constitutive relations.

Read more about this topic:  Linear Elasticity

Famous quotes containing the words mathematical and/or formulation:

    All science requires mathematics. The knowledge of mathematical things is almost innate in us.... This is the easiest of sciences, a fact which is obvious in that no one’s brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
    Roger Bacon (c. 1214–c. 1294)

    You do not mean by mystery what a Catholic does. You mean an interesting uncertainty: the uncertainty ceasing interest ceases also.... But a Catholic by mystery means an incomprehensible certainty: without certainty, without formulation there is no interest;... the clearer the formulation the greater the interest.
    Gerard Manley Hopkins (1844–1889)