Browsing Mathematics (Scholarly Articles) by Subject "Finite deformations"

Now showing items 1-4 of 4

    • Incremental magnetoelastic deformations, with application to surface instability 

      Destrade, Michel (Springer, 2008-01)
      In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling ...

    • Magneto-deformation and transverse elastic waves in hard-magnetic soft laminates 

      Zhang, Quan; Rudykh, Stephan (Elsevier, 2022-04-28)
      We study the magneto-mechanical behavior of periodic laminates made of hard-magnetic active elastomers (HMAEs). We formulate the amended free-energy function for HMAEs, and derive an explicit expression for the induced ...

    • Nonlinear elastic vector solitons in hard-magnetic soft mechanical metamaterials 

      Zhang, Quan; Cherkasov, Andrei V.; Xie, Chen; Arora, Nitesh; Rudykh, Stephan (Elsevier, 2023-07-14)
      We propose a design of a metamaterial for magnetically tunable propagation of nonlinear vector solitary waves. The metamaterial consists of a periodic array of units of hard-magnetic inclusion embedded in a soft matrix. ...

    • 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 ...