使用奥格登模型和Mooney-Rivlin模型计算应变能量密度函数,基于皮的双轴延长实验
Yoshihiro Yamashita1, Hideyuki Uematsu2, Shuichi Tanoue1
1Research Center for Fibers and Materials, University of Fukui, Fukui 9110-8507, Japan.
Polymers
|May 27, 2023
概括
这项研究简化了获得像这样的超弹性材料的应变能量密度函数. 研究人员使用双轴变形实验推导了Ogden和Mooney-Rivlin近似的参数,使其成为CAE分析的实用性.
科学领域:
- 材料科学 材料科学 材料科学
- 机械工程 机械工程
- 计算力学 计算力学 计算力学
背景情况:
- 应变能量密度函数对于超弹性材料的CAE分析至关重要.
- 这些函数的实验性确定,特别是通过双轴变形,具有挑战性,并限制了实际应用.
- 目前用于从双轴测试中推导这些函数的方法尚未成熟.
研究的目的:
- 导出和验证Ogden和Mooney-Rivlin对应变能量密度函数的近似值的参数.
- 建立一种实用的方法,通过对皮的双轴变形实验来获得应变能量密度函数.
- 改进CAE中超弹性材料模型的应用.
主要方法:
- 在膠上進行雙軸變形實驗.
- 使用实验数据,为Ogden和Mooney-Rivlin近似推导了参数.
- 验证了衍生参数的有效性.
- 研究了用于数据采集的最佳变形模式 (等双轴,受约束的单轴双轴,单轴) 的顺序.
主要成果:
- 从双轴试验中成功推导出奥格登和穆尼-里夫林应变能量密度函数的参数.
- 验证了衍生的参数,证明了它们对CAE分析的有用性.
- 确定了一种最佳的实验协议,涉及循环加载和特定的变形序列,以准确确定参数.
结论:
- 该研究提供了一种实际的方法来确定超弹性材料的应变能量密度函数.
- 导出的参数和实验方法提高了和弹性的CAE模拟的可靠性.
- 这些发现有助于将实验数据集成到用于材料行为预测的计算模型中.
相关概念视频
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
302
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
302
01:20Strain-Energy Density
491
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...
491
01:20Elastic Strain Energy for Shearing Stresses
234
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...
234
01:13Strain Energy
506
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...
506
01:22Elastic Strain Energy for Normal Stresses
213
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...
213
01:20Shearing Strain
527
The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between...
527