Damping capacity of soil during dynamic loading. Report 1, Review of mathematical material models
Miscellaneous PaperAbstract: To establish basic definitions and to serve as a reference for future theoretical and applied research efforts, the fundamental concepts of the theory of continuous mass media are reviewed, and the mathematical foundations of constitutive equations for isotropic and homoceneous materials are presented. The results are restricted to deformation for which isothermal behavior prevails and displacement gradients are small. Seven types of mathematical material models are discussed that can be used to describe the stress-strain-time behavior of physically nonlinear materials. The models are given in three-dimensional tensorial representation. The energy-dissipation properties of engineering materials are discussed within the framework of the abovementioned mathematical material models, and the damping models used in engineering analyses of vibratory systems are summarized.
U.S. Army Engineer Waterways Experiment Station.Engineer Research and Development Center (U.S.)
Constitutive relations; Damping; Dynamic loads; Isotropic/homogeneous materials; Mathematical models; Numerical models; Soil mechanics; Soil dynamics; Soil properties; Stress-strain-time relations
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