考虑颗粒破碎效应的钙质砂亚塑性本构模型OA
A hypoplastic constitutive model incorporating particle breakage for calcareous sands
[目的]钙质砂的颗粒在受力过程中容易发生破碎.这一特性显著影响材料的宏观力学行为.深入探究颗粒破碎对钙质砂力学性质的影响机制,对于岩土工程实践具有重要意义.[方法]采用单位体积塑性功函数量化颗粒破碎程度,并引入极限分布孔隙比的概念,推导考虑颗粒破碎的孔隙比的演化方程,构建一个与相对破碎率动态关联的临界状态线理论框架.[结果]将系统的数值模拟结果与不同围压、排水条件下的试验结果进行对比分析,验证了所建立模型的合理性与适用性:在加载过程中的颗粒破碎会显著削弱颗粒材料的强度特性,包括峰值强度和临界状态强度;初始围压的增加会增大颗粒破碎的程度.与原始亚塑性模型相比,改进后的模型可以更加合理地预测峰值和临界状态力学行为.[结论]本研究从单位体积塑性功与临界状态理论的角度,揭示了颗粒破碎影响钙质砂强度特性的内在机理.
[Purposes]The particles of calcareous sand are prone to breakage during the force application process.This characteristic significantly affects the macroscopic mechanical behavior of the material.Delving into the mechanism of how particle breakage influences the mechanical properties of calcareous sand is of great significance for practical applications in geotechnical engineering.[Methods]The extent of particle breakage was quantified utilizing a plastic work function per unit volume.The concept of the limit distribution of void ratios was introduced,enabling the derivation of an evolution equation for the void ratio that incorporated particle breakage.A theoretical framework for the critical state line,dynamically coupled with the relative breakage index,was subsequently developed.[Results]The numerical simulation results of the system are compared and analyzed with the test results under different confining pressures and drainage conditions,thereby verifying the rationality and applicability of the established model.Particle breakage during loading markedly diminishes the strength characteristics of the granular material,including both peak strength and critical state strength;an increase in the initial confining pressure exacerbates the degree of particle breakage.In comparison to the original hypoplastic model,the enhanced model demonstrates superior predictive capability for both peak and critical state mechanical behavior.[Conclusions]This study elucidates the intrinsic mechanism through which particle breakage governs the strength characteristics of calcareous sand from the perspectives of plastic work per unit volume and critical state theory.
徐王成;叶斐;廖栋;潘坤;孙宏磊;蔡袁强
浙江工业大学 土木工程学院,浙江 杭州 310014浙江交工集团股份有限公司,浙江 杭州 310051香港理工大学 土木工程学院,香港特别行政区 999077浙江工业大学 土木工程学院,浙江 杭州 310014浙江工业大学 土木工程学院,浙江 杭州 310014浙江工业大学 土木工程学院,浙江 杭州 310014
建筑与水利
钙质砂临界状态颗粒破碎塑性功亚塑性本构模型
calcareous sandcritical stateparticle breakageplastic workhypoplastic constitutive model
《长沙理工大学学报(自然科学版)》 2026 (1)
21-30,10
国家自然科学基金项目(U2239251)
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