Non-Classical Continuum Mechanics
J. N. Reddy, Texas A&M University
K. S. Surana, The University of Kansas
The broad aim of this symposium is to reflect on and identify short- and long-term research opportunities and goals – theoretical, computational as well as complementary experimental – with the objective of satisfactory and acceptable macroscopic non-classical continuum theories for solid and fluent continua. While the mature field of classical continuum theories addresses a large majority of theoretical and practical questions that arise in day-to-day engineering science, it appears less than satisfactory when applied to modern engineered materials that require consideration of additional physics in the formulation of the theories. Non-classical continuum theories incorporate additional physics associated with deformation and the constitution of the matter that are generally not considered in the classical continuum theories, leading to an enhanced or more complete thermodynamic framework, including constitutive theories. The symposium will consist of presentations on non-classical continuum theories and constitutive theories including applications of these theories to plates, shells, beams, solid mechanics in general, mechanics of composites, functionally graded materials, fracture mechanics, plasticity, compressible and incompressible fluid mechanics, nonlocal theories, and emerging topics in mechanics. In addition, theoretical work and applications related to non-equilibrium phenomena are also encouraged in this symposium.