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To describe the strain state and fracture in the framework of a generalized model of inelasticity is necessary to consider the history of deformation of the sample depends on the loading path and on time. For different loading paths for the processes of varying duration results will be different. We give a physical explanation of the above stated hypothesis, usually characteristic of any model of a continuous medium, the options are.
The number of state parameters can be infinite, but the state of a thermodynamic system is defined by a finite number of parameters.
Consider the processes of deformation for a generalized model inelasticity at various bases of state parameters. For example, shows a graphical illustration of dependence of the stress-strain state of the load paths in state space (phase space), whose coordinates are some generalized forces P and displacement time. Stress-strain state at the point of the body represented by , and the curves describe the loading or deformation of the body.
The transition point from the phase plane at corresponds to the change of state of the body for the time and is represented by curve, Gillette process of changing the physical and mechanical properties in time.
Obviously, the loading of the body with different strain rates for the same total time, can lead to different processes . Choose another basis of the parameters of a component of the total stress tensor. In an elastic material, plastic state is always attained in one "at the same point with the loading path, regardless of the time of its passage. Material has viscoelastic properties, the plastic state can be achieved at different points P (or C} depending on the loading path time realization on the loading path time realization of this path. The difference in the behavior of materials due to the dependence of the loading history of the time.
Passage of the way the with different strain rates at the same points the way but at the same total time, can lead to different values. Shows two ways of loading, where the arrows connect the dots with a suitable equal duration of the loading process on the loading path time realization of this path. The difference in the behavior of materials due to the dependence of the loading history of the time.