Macromolecular or polymeric liquids consist of polymer solutions, polymer melts, particle suspension fluids, and many biological fluids. Polymer solutions are made of polymers dissolved in solutions or solvent; polymer melts are molten polymers; particle suspension fluids consist of solid particles suspended in a matrix fluid which may be a viscous or viscoelastic fluid, blood flows consist of ...

A generalization of the original peridynamic framework for solid mechanics is proposed. This generalization permits the response of a material at a point to depend collectively on the deformation of all bonds connected to the point. This extends the types of material response that can be reproduced by peridynamic theory to include an explicit dependence on such collectively determined quantitie...

Fractional derivatives are well suited to describe wave propagation in complex media. When introduced in classical wave equations, they allow a modeling of attenuation and dispersion that better describes sound propagation in biological tissues. Traditional constitutive equations from solid mechanics and heat conduction are modified using fractional derivatives. They are used to derive a nonlin...

earthquakes could have catastrophic impacts on tunnels and buried structures. liquefaction phenomenon is one of the most destructive effects of earthquakes. liquefaction results in decreasing effective stress and this consequently leads to decreases in shear strength of the soil. as a result, large deformation in both soil and buried structure occurs. moreover, liquefaction causes soil boiling,...

The anisotropic continuum stored energy density (ACSED) functional is applied for accurate constitutive modeling of biological tissues and finite element implementation without the isochoric—volumetric split, anisotropic—isotropic or invariant split. Related stress elasticity tensors in reference current configurations are worked out. A new kinematic model derived based on tangent Poisson’s rat...