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陈嘉瑞, 汤耀岚, 张春顺. 考虑颗粒破碎及与状态相关的双屈服面弹-塑性本构模型[J]. 岩土工程学报. DOI: 10.11779/CJGE20240841
引用本文: 陈嘉瑞, 汤耀岚, 张春顺. 考虑颗粒破碎及与状态相关的双屈服面弹-塑性本构模型[J]. 岩土工程学报. DOI: 10.11779/CJGE20240841
A state-dependent double yield surface elastoplastic constitutive model considering the effect of particle breakage[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240841
Citation: A state-dependent double yield surface elastoplastic constitutive model considering the effect of particle breakage[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240841

考虑颗粒破碎及与状态相关的双屈服面弹-塑性本构模型

A state-dependent double yield surface elastoplastic constitutive model considering the effect of particle breakage

  • 摘要: 大量试验研究表明,岩土颗粒材料在荷载作用下会发生颗粒破碎,导致粒径分布曲线(GSD)改变,从而显著影响其力学特性。因此,建立能够考虑颗粒破碎影响的本构模型对于精确预测颗粒材料的应力-应变关系至关重要。本文首先总结了Hardin提出的破碎演化模型的特点和局限性,而后结合大量颗粒破碎试验结果,提炼出能够反映颗粒破碎特性的双曲线破碎演化模型,并基于该模型修正了弹性柔度矩阵Ce,使其考虑颗粒破碎的影响。其次,本文建立了与颗粒破碎相关的临界状态方程,清晰揭示了随着颗粒破碎增加,材料临界状态线斜率随之增大的特性,并将这一特性融入状态参量中,推导了考虑颗粒破碎效应的塑性柔度矩阵Cp。最后,结合修正后的弹性和塑性柔度矩阵,建立并验证了考虑颗粒破碎与状态相关的双屈服面弹-塑性本构模型。

     

    Abstract: Numerous experimental studies have shown that particle breakage in granular geomaterials under loading alters the grain size distribution (GSD) and consequently affects their mechanical properties. Therefore, establishing a constitutive model that incorporates particle breakage is crucial for accurately predicting the stress-strain behavior of granular materials. First, this study derives a hyperbolic breakage evolution model based on the characteristics and limitations of Hardin's breakage evolution model and extensive test results and modifies the elastic compliance matrix (Ce) to account for particle breakage. Next, a critical state equation that considers particle breakage effects is established, effectively capturing the increasing slope of the critical state line due to particle breakage. This characteristic is incorporated into the state parameters, resulting in a plastic compliance matrix (Cp) that accounts for particle breakage. Finally, by combining the modified elastic and plastic compliance matrices, a state-dependent double yield surface elastoplastic constitutive model that considers particle breakage is developed and validated.

     

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