Nonlinear Visco-Elasto-Plastic Model for Surrounding Rock Incorporating the Effect of Intermediate Principal Stress

Zou, Jinfeng; Xia, Mingyao; Yuan, Xu

doi:10.1007/s10706-016-0116-5

Cited by 10 publications

(2 citation statements)

References 25 publications

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“…Although the paper presents a numerical implementation of the simplest viscoelastic model (standard model of elastomers), more complex models with a wide range of relaxation times can be implemented using Prony series in the same way. Moreover, many-body formulation of element-element interaction makes it possible to implement complex rheological models including viscoelasticity in the integral form with relaxation core functions R(t) [25], combined visco-elastic-plastic models [26][27][28] and coupled thermomechanical models (with the temperature dependence of dynamic viscosity [29]).…”

Section: Discussionmentioning

confidence: 99%

The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials

Shilko¹,

Dudkin²,

Grigoriev³

2019

EPJ Web Conf.

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The paper is devoted to the development of the formalism of the computational method of discrete elements (DEM) for describing the mechanical behavior of consolidated viscoelastic materials. We considered an advanced implementation of DEM, namely, the method of movable cellular automata (MCA). A feature of this implementation of DEM is the use of a generalized many-body formulation of the relations for the forces of element-element interaction. 3D numerical models of viscoelastic material with a spectrum of relaxation times (Kelvin and Maxwell models, the standard model of elastomers, and others) were developed within the formalism of MCA. The correctness of the developed discrete element formalism and its applicability for modeling the processes of deformation and fracture of viscoelastic materials under dynamic loading are shown using the standard model of elastomers as an example. The relevance of the results is determined by the prospects for the further development of DEM and its application to study and predict the mechanical response of viscoelastic materials of various nature under dynamic loading including contact problems.

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Section: Discussionmentioning

confidence: 99%

The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials

Shilko¹,

Dudkin²,

Grigoriev³

2019

EPJ Web Conf.

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“…Using the complex variable method, the Laplace transformation technique and extension of the correspondence principle, Song et al (2018a and developed analytical solutions for tunnels excavated in time-dependent viscoelastic rock masses, and the sequential installation of the primary and the secondary support systems were accounted for. Furthermore, elastic-plastic, viscoplastic and viscoelastic-viscoplastic models have been utilized to predict the plastic response of geomaterials (Alejano et al, 2009;Alonso et al, 2003;Cui et al, 2019;Kabwe et al, 2020b and2020c;Kargar, 2019;Zhang et al, 2016;Zhang et al, 2012a;Zhang et al, 2019b;Zou et al, 2017a;Zou et al, 2017b;Zou et al, 2017c). When considered plastic response of geomaterials, the design of supported tunnels usually tackled by the convergence-confinement method (CCM) or numerical simulations, as described in sections 1.2.2 and 1.2.3.…”

Section: Solutions For Mechanical Problemsmentioning

confidence: 99%

Modelling time-dependent plastic behaviour of geomaterials

Song¹

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Representing the time-dependent plastic behaviour of geomaterials is a critical issue in the correct application of tunnelling design techniques such as the convergence-confinement method or numerical modelling. Furthermore, during underground excavations below the water table, the effect of seepage flow cannot be ignored, and the behaviour of the tunnel must be analysed in a coupled hydro-mechanical framework. The main objective of this thesis is to analyse the response of tunnels excavated in saturated time-dependent plastic rock masses. For this purpose, a time-dependent plastic constitutive model has been developed and implemented in the software CODE_BRIGHT to simulate the time-dependent, strain-softening and creep-induced failure behaviour of geomaterials. Moreover, a coupled hydro-mechanical model is utilised to simulate the interaction between solid deformations and fluid flows. The obtained results provide relevant insights into the response of tunnels excavated in saturated time-dependent plastic rock masses. However, numerical difficulties might occur when modelling multi-stage excavations problems, when considering multi-physics coupled processes or non-linear mechanical material models, especially if the layers or pieces of excavated material are relatively coarse. In order to mitigate these numerical difficulties, a smoothed excavation (SE) method has been proposed and implemented in the software CODE_BRIGHT, which can improve numerical efficiency and mitigate non-convergence issues. Subsequently, to analyse the stability of tunnels with a combined support system, numerical solutions have been developed for tunnels excavated in strain-softening rock masses, considering the whole process of tunnel advancement, and the sequential installation of primary and secondary support systems. For this purpose, the actual compatibility conditions at both the rock-support interface and the support-support interface are considered. This method provides a convenient alternative method for the preliminary design of supported tunnels. La adecuada representación del comportamiento plástico y dependiente del tiempo de los geomateriales es una cuestión crítica en la correcta aplicación de técnicas de diseño de túneles como el método de convergencia-confinamiento o el modelado numérico. Por otro lado, durante las excavaciones subterráneas por debajo del nivel freático no se puede ignorar el efecto del flujo de filtración y, por tanto, el comportamiento del túnel debe analizarse en un marco hidromecánico acoplado. El principal objetivo de esta tesis es analizar la respuesta de túneles excavados en macizos rocosos plásticos saturados y dependientes del tiempo. Para este propósito, se ha desarrollado e implementado un modelo constitutivo plástico dependiente del tiempo en el software CODE_BRIGHT, que permite simular el comportamiento dependiente del tiempo, el de reblandecimiento por deformación y el inducido por fluencia de los geomateriales. Además, se ha utilizado un modelo hidromecánico acoplado para simular la interacción entre la deformación del sólidas y el flujo de fluido. Los resultados obtenidos proporcionan información relevante sobre la respuesta de los túneles excavados en macizos rocosos plásticos, saturados y dependientes del tiempo. Sin embargo, pueden surgir dificultades numéricas al modelar problemas de excavaciones en varias etapas, al considerar procesos multifísicos acoplados o modelos de materiales mecánicos no lineales, especialmente si las capas o piezas de material excavado son relativamente gruesas. Para mitigar estas dificultades numéricas, se ha propuesto e implementado un método de excavación suavizada (SE) en el software CODE_BRIGHT, que puede mejorar la eficiencia numérica y mitigar los problemas de no convergencia. Posteriormente, para analizar la estabilidad de túneles con sistemas de sostenimiento combinado, se han desarrollado soluciones numéricas para túneles excavados en macizos con reblandecimiento por deformación, considerando todo el proceso de avance del túnel y la instalación secuencial de los sistemas de sostenimiento primario y secundario. Con este propósito, se han considerado las condiciones reales de compatibilidad tanto en la interfaz roca- sostenimiento como en la interfaz sostenimiento-sostenimiento. Este método proporciona un método alternativo conveniente para el diseño preliminar de túneles con sostenimiento.

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Time-Dependent Tunnel Response: Analytical & Numerical Solutions for Nonlinear Post-Peak Behavior

Zaheri,

Ranjbarnia,

Goudarzy

2025

Geotech Geol Eng

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Nonlinear Visco-Elasto-Plastic Model for Surrounding Rock Incorporating the Effect of Intermediate Principal Stress

Cited by 10 publications

References 25 publications

The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials

The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials

Modelling time-dependent plastic behaviour of geomaterials

Time-Dependent Tunnel Response: Analytical & Numerical Solutions for Nonlinear Post-Peak Behavior

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