TY - GEN

T1 - Generalized Time, "Horizontal" and "Vertical" Scaling at Modelling of Deformation, Structural Transitions and Destruction of Rheologyically Complex Media

AU - Fedorovsky, Georgy D.

PY - 2014

Y1 - 2014

N2 - Possibilities of application and development of endochronic concepts for the mathematical description of determining characteristics of nonlinear tenacity-elasticity-plastiticity are considered. "Simple", "complex" and "functional" (with memory) "horizontal" scaling of time is used,in view of various physical-chemical-mechanical influence (temperature, humidity, radiation irradiation, ageing, stresses, deformations, etc.). Variants of employment of "vertical" transformation of determining characteristics are analyzed. The estimation of use of scales with the various hierarchical structure is made, allowing to model adequately and effectively monotonous and nonmonotonous processes of deformation, in view of linear and nonlinear tenacity-elasticity-plastiticity, with accelerated and slowed down responses of media. Such approach has given a possibility to generalize various known theories of nonlinear creep, relaxation and plasticity (technical, Boltsman-Volterra-Perso, Rabotnov, Moskvitin), and also to carry ou

AB - Possibilities of application and development of endochronic concepts for the mathematical description of determining characteristics of nonlinear tenacity-elasticity-plastiticity are considered. "Simple", "complex" and "functional" (with memory) "horizontal" scaling of time is used,in view of various physical-chemical-mechanical influence (temperature, humidity, radiation irradiation, ageing, stresses, deformations, etc.). Variants of employment of "vertical" transformation of determining characteristics are analyzed. The estimation of use of scales with the various hierarchical structure is made, allowing to model adequately and effectively monotonous and nonmonotonous processes of deformation, in view of linear and nonlinear tenacity-elasticity-plastiticity, with accelerated and slowed down responses of media. Such approach has given a possibility to generalize various known theories of nonlinear creep, relaxation and plasticity (technical, Boltsman-Volterra-Perso, Rabotnov, Moskvitin), and also to carry ou

KW - Endochronic theory

KW - generalized time

KW - "horizontal" and "vertical" scales

KW - linear and non linear deformed and structural condition, damageability and durability

M3 - Conference contribution

SN - 978-598340-331-4

SP - 263

EP - 267

BT - Proceesings of the XLII Summer School-Conference "Advanced Problems in Mechanics" APM 2014, St. Petersburg June 30 -Jule 5, 2014 (on SD)

ER -