Browsing Mathematics (Scholarly Articles) by Subject "Residual stress"

Now showing items 1-4 of 4

    • Electro-mechanically guided growth and patterns 

      Du, Yangkun; Su, Yipin; Lü, Chaofeng; Chen, Weiqiu; Destrade, Michel (Elsevier, 2020-07-01)
      Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these ...

    • Initial stresses in elastic solids: Constitutive laws and acoustoelasticity 

      Destrade, Michel (2011)
      On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ...

    • On deforming a sector of a circular cylindrical tube into an intact tube: Existence, uniqueness, and stability 

      Destrade, Michel (Elsevier, 2010-11)
      Within the context of finite deformation elasticity theory the problem of deforming an open sector of a thick-walled circular cylindrical tube into a complete circular cylindrical tube is analyzed. The analysis provides a ...

    • On stress-dependent elastic moduli and wave speeds 

      Destrade, Michel; Ogden, R.W. (Oxford University Press, 2013)
      On the basis of the general non-linear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stress-dependent ...