粘弹性塑料爬行构成模型基于能量保存定律和应变能量理论
Di Zhou1, Xiangjin Tian1, Shuguang Zhang2,3
1China Construction Fifth Engineering Division Corp., Ltd., Changsha, 410000, Hunan, China.
Scientific reports
|November 18, 2024
概括
这项研究引入了一个基于节能的新岩石爬行模型,准确地描述了初级,稳定状态和加速爬行阶段. 该模型的性能优于传统方法,特别是对于处于高压力的岩石,改善了岩石力学预测.
科学领域:
- 地质技术工程 地质技术工程
- 岩石机械 岩石机械
- 材料科学 材料科学 材料科学
背景情况:
- 传统的岩石爬行模型很难准确地表示加速爬行阶段.
- 了解岩石爬行对于分析地质构造和工程结构至关重要.
- 能量保存定律为分析物理过程提供了一个基本的框架.
研究的目的:
- 开发一种新的岩石爬行构成模型,包括所有三个阶段:初级,稳定状态和加速.
- 解决现有模型在描述加速爬行阶段的局限性.
- 为岩石爬虫行为分析提供更准确的理论基础.
主要方法:
- 在不同限制压力下进行三轴岩石爬行测试,以确定变形规律和关键参数.
- 建立了一个新的爬行构成模型,整合了应变能量理论,能量保存定律和Perzyna粘性塑料理论.
- 通过将其预测与实验数据和尼希哈拉模型进行比较来验证该模型.
主要成果:
- 拟议的模型准确地反映了岩石爬行特征,特别是当负载超过长期强度时.
- 该模型有效地突出了加速爬行阶段,这与传统模型相比是显著的改进.
- 新模型与实验数据的匹配精度大大高于尼希哈拉模型.
结论:
- 开发的爬行构成模型彻底描述了岩石爬行的整个过程,包括初级,稳定状态和加速阶段.
- 这种模型克服了传统模型的缺点,特别是在描述加速爬行时.
- 这些发现为进一步研究控制岩石爬行的客观规律提供了坚实的理论基础.
相关概念视频
01:22Elastic Strain Energy for Normal Stresses
139
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
If...
139
01:20Strain-Energy Density
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Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this...
364
01:20Elastic Strain Energy for Shearing Stresses
164
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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01:21Plastic Behavior
189
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
189
01:13Strain Energy
389
Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
389
01:18Castigliano's Theorem
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Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.
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