Uniqueness of inverse problems of isotropic incompressible three-dimensional elasticity

Uri Albocher, Paul E. Barbone, Assad A. Oberai, Isaac Harari

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

The uniqueness of an inverse problem of isotropic incompressible three dimensional elasticity aimed at reconstructing material modulus distributions is considered. We show that given a single strain field and no boundary conditions, arbitrary functions may have to be prescribed to make the solution unique. On the other hand, having two linearly independent strain fields leads to a favorable solution space where a maximum of five arbitrary constants must be prescribed to guarantee a unique solution. We solve inverse problems with two strain fields given using the adjoint weighted equation method and impose five discrete constraints. The method exhibits good numerical performance with optimal rates of convergence.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)55-68
عدد الصفحات14
دوريةJournal of the Mechanics and Physics of Solids
مستوى الصوت73
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 15 ديسمبر 2014

All Science Journal Classification (ASJC) codes

  • !!Condensed Matter Physics
  • !!Mechanics of Materials
  • !!Mechanical Engineering

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