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)
“Art is an experience, not the formulation of a problem.”
—Lindsay Anderson (b. 1923)