By A. Cemal Eringen

ISBN-10: 0387952756

ISBN-13: 9780387952758

ISBN-10: 1441929312

ISBN-13: 9781441929310

Nonlocal continuum box theories are taken with fabric our bodies whose habit at any inside element depends upon the nation of all different issues within the physique -- instead of basically on a good box because of those issues -- as well as its personal nation and the kingdom of a few calculable exterior box. Nonlocal box thought extends classical box conception by means of describing the responses of issues in the medium by way of functionals instead of capabilities (the "constitutive family" of classical box theory). Such issues are already renowned in solid-state physics, the place the nonlocal interactions among the atoms are frequent in choosing the houses of the fabric. The instruments built for crystalline fabrics, even if, don't lend themselves to interpreting amorphous fabrics, or fabrics during which imperfections are a big a part of the constitution. Nonlocal continuum theories, in contrast, can describe those fabrics faithfully at scales all the way down to the lattice parameter. This publication offers a unified method of box theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that come with nonlocal results in either house and time (memory effects). The recommendations to the sphere equations agree remarkably good with atomic theories and experimental observations.

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Nonlocal Continuum Field Theories by A. Cemal Eringen


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