Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in which matter manifests itself only through its inertia, independent of its constitution; “modern” physics likewise turns its back, since it concerns solely the small particles of matter, declining to face the problem of how a specimen made up of such particles will behave in the typical circumstances in which we meet it. Materials, however, continue to furnish the masses of matter we see and use from day to day: air, water, earth, flesh, wood, stone, steel, concrete, glass, rubber, ... All are deformable. A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys.

The non-linear field theories of mechanics

Nonlocal polar elastic continua

Modeling of the evolution of distributed damage such as microcracking, void formation, and softening frictional slip necessitates strain-softening constitutive models. The nonlocal continuum concept has emerged as an effective means for regularizing the boundary value problems with strain softening, capturing the size effects and avoiding spurious localization that gives rise to pathological mesh sensitivity in numerical computations. A great variety of nonlocal models have appeared during the last two decades. This paper reviews the progress in the nonlocal models of integral type, and discusses their physical justifications, advantages, and numerical applications.

Nonlocal integral formulations of plasticity and damage: Survey of progress

Microcontinuum fluid mechanics—A review

General conservation equations for multi-phase systems: 1. Averaging procedure

Nonlinear theory of simple micro-elastic solids-i

/pdf/elastodynamics-vol-ii-linear-theory-4rti0xxurg.pdf

E.S. Suhubi

Papers

Nonlinear theory of simple micro-elastic solids-i

Elastodynamics, Vol. II, Linear Theory

Small longitudinal vibration of an initially stretched circular cylinder

Small torsional oscillations of a circular cylinder with finite electric conductivity in a constant axial magnetic field