{"title":"Thermodynamic basis of granular STZ model and its application in revealing shear resistance reduction mechanisms of granular soils under vibration","authors":"Tao Xie, Peijun Guo, Dieter Stolle","doi":"10.1007/s00161-023-01244-6","DOIUrl":null,"url":null,"abstract":"<div><p>The granular shear-transformation-zone (STZ) model is an energy-based constitutive model for studying granular materials subjected to vibration. This paper provides a detailed analysis of the thermodynamic foundation of the granular STZ model and applies it to investigate the mechanism of vibration-induced shear resistance reduction (ViSRR) in granular soils. Firstly, using the principles of thermodynamics, an energy conversion equation for a mechanical-energy-governed granular soil system is derived, accounting for vibration energy, configurational energy, strain energy, and contact energy dissipation. Then, by incorporating the critical state concept from soil mechanics, the energy conversion function is used to develop the evolution law of configurational temperature, one of the three governing functions of the granular STZ model. The analysis shows that ViSRR is influenced by the rate of strain energy development and the input rate of vibration energy, and that a limitation in soil deformation during vibration is necessary for ViSRR to occur. Furthermore, the contact energy dissipation arising from inelastic contact deformation and particle collisions contributes to enhancing a granular soil’s shear resistance by absorbing part of the external energy applied to the soil.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"35 6","pages":"2239 - 2253"},"PeriodicalIF":1.9000,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Continuum Mechanics and Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00161-023-01244-6","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The granular shear-transformation-zone (STZ) model is an energy-based constitutive model for studying granular materials subjected to vibration. This paper provides a detailed analysis of the thermodynamic foundation of the granular STZ model and applies it to investigate the mechanism of vibration-induced shear resistance reduction (ViSRR) in granular soils. Firstly, using the principles of thermodynamics, an energy conversion equation for a mechanical-energy-governed granular soil system is derived, accounting for vibration energy, configurational energy, strain energy, and contact energy dissipation. Then, by incorporating the critical state concept from soil mechanics, the energy conversion function is used to develop the evolution law of configurational temperature, one of the three governing functions of the granular STZ model. The analysis shows that ViSRR is influenced by the rate of strain energy development and the input rate of vibration energy, and that a limitation in soil deformation during vibration is necessary for ViSRR to occur. Furthermore, the contact energy dissipation arising from inelastic contact deformation and particle collisions contributes to enhancing a granular soil’s shear resistance by absorbing part of the external energy applied to the soil.
期刊介绍：
This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena.
Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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