Physical model test on the support characteristic for quasi-NPR bolt under asymmetric stress

With the continuous increase in tunnel construction,the significant deformation of the surrounding tunnel rock is often difficult to predict and control.In addition,the lithology,structure,and various asymmetric large deformation of surrounding rock mass during operation and maintenance severely affect the ultimate bearing and stability of the tunnel.To explore the deformation mechanisms and failure modes of surrounding rock under large asymmetric stress and complex geological conditions,a physical model of a tunnel through granite was constructed based on the similarity theory.The model had 30°dip lithology under asymmetric stress and was emplaced a new quasi-negative Poisson’s ratio(NPR)bolt.By analyzing the variation law of displacement and axial force of the bolt under an asymmetric load,the asymmetric deformation and failure mechanism of the granite tunnel and the support effect of the quasi-NPR bolt were determined.The energy absorbed by the surrounding rock was analyzed,and the influence mechanism and control countermeasures of asymmetric stress on the granite tunnel were explored.This work provides a reference for the design of asymmetric support of tunnels with similar engineering backgrounds.

A Simple Theory of Asymmetric Linear Elasticity

Rotation is antisymmetric and therefore is not a coherent element of the classical elastic theory, which is characterized by symmetry. A new theory of linear elasticity is developed from the concept of asymmetric strain, which is defined as the transpose of the deformation gradient tensor to involve rotation as well as symmetric strain. The new theory basically differs from the prevailing micropolar theory or couple stress theory in that it maintains the same basis as the classical theory of linear elasticity and does not need extra concepts, such as “microrotation” and “couple stresses”. The constitutive relation of the new theory, the three-parameter Hooke’s law, comes from the theorem about isotropic asymmetric linear elastic materials. Concise differential equations of translational motion are derived consequently giving the same velocity formula for P-wave and a different one for S-wave. Differential equations of rotational motion are derived with the introduction of spin, which has an intrinsic connection with rotation. According to the new theory, S-wave essentially has rotation as large as deviatoric strain and should be referred to as “shear wave” in the context of asymmetric strain. There are nine partial differential equations for the deformation harmony condition in the new theory;these are given with the first spatial differentiations of asymmetric strain. Formulas for rotation energy, in addition to those for (symmetric) strain energy, are derived to form a complete set of formulas for the total mechanical energy.

Stress and Springback Analyses of API X70 Pipeline Steel Under 3-Roller Bending via Finite Element Method

3-Roller bending is a widely applied manufacturing process, particularly in structural steel pipe industry.However, due to the difficulty and high cost of measuring stress distribution inside sheet material via traditional method,internal stress/strain response during forming is largely unexplored. The focuses of this study are two：（1） to map the radii of curvature as well as the stress inside the work piece during forming by utilizing the meshing mechanism of finite element method, and（2） to further provide some numeric guidelines for the configuration of the rolling system in order to improve production efficiency and product quality. The results of this study indicate that：（1） it is crucial to properly choose forming parameter in order to produce product with desired radii;（2） much like a gradual springback process, the radii of curvature gradually increase from the top roller to the exit-side bottom roller;（3） under the assumptions made in this study, to produce pipes with a specified diameter with varying configurations of the 3-roller system will not significantly change the final residual stress; and（4） finally, shifting of the neutral axis up to 2.0% of the thickness toward the compressing side during the forming process is observed.