About: Linear elasticity

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Mathematical model of how solid objects deform

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  • mathematical model of how solid objects deform (en)
  • математическая модель деформации твердых тел (ru)
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  • First, the -direction will be considered. Substituting the strain-displacement equations into the equilibrium equation in the -direction we have Then substituting these equations into the equilibrium equation in the -direction we have Using the assumption that and are constant we can rearrange and get: Following the same procedure for the -direction and -direction we have These last 3 equations are the steady Navier–Cauchy equations, which can be also expressed in vector notation as (en)
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  • Derivation of steady Navier–Cauchy equations in Engineering notation (en)
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  • Linear elasticity (en)
  • مرونة خطية (ar)
  • Θεωρία ελαστικότητας (el)
  • Teoria dell'elasticità (it)
  • 선형탄성 (ko)
  • Elasticiteitsleer (nl)
  • Elasticidade (mecânica dos sólidos) (pt)
  • Теория упругости (ru)
  • Теорія пружності (uk)
  • 弹性力学 (zh)
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