Micromechanically Based Constitutive Laws and Random Fields in Solid Mechanics: Elasticity, Plasticity, and Fracture

  • Martin Ostoja-Starzewski
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 47)


A stochastic formulation of constitutive laws in solid and structural mechanics, as is typically needed in the setting up of stochastic finite elements and differences [1, 2, 3], has to be based on micromechanical analyses. In this paper we give an account of our recent studies on the development and use of such laws in three areas: elasticity, plasticity and fracture/damage phenomena.


Random Medium Natural Boundary Condition Finite Size Scaling Micromechanical Analysis Stochastic Finite Element Method 
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Martin Ostoja-Starzewski
    • 1
  1. 1.Department of Materials Science and MechanicsMichigan State UniversityEast LansingUSA

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