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 引用本文: 万征, 孟达. 基于t准则的各向异性强度准则及变换应力法[J]. 力学学报, 2020, 52(5): 1519-1537.
Wan Zheng, Meng Da. ANISOTROPIC STRENGTH CRITERION BASED ON T CRITERION AND THE TRANSFORMATION STRESS METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1519-1537.
 Citation: Wan Zheng, Meng Da. ANISOTROPIC STRENGTH CRITERION BASED ON T CRITERION AND THE TRANSFORMATION STRESS METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1519-1537.

## ANISOTROPIC STRENGTH CRITERION BASED ON T CRITERION AND THE TRANSFORMATION STRESS METHOD

• 摘要: 岩土材料通常呈现出成层水平分布特点, 即可将其视为横观各向同性材料, 横观各向同性对于岩土材料的变形以及强度值都会产生显著的影响. 基于已提出的t强度准则, t强度准则是基于各向同性单元体中存在有效滑移面来构建的, 并根据该空间有效滑移面上主剪应力与主法向应力的比值达到一定阈值为破坏条件. 在空间中存在有效滑移面与物理沉积面, 基于上述两个面在空间的位置关系, 用两面夹角作为表征横观各向同性对剪切强度影响程度的参量, 并假定当该夹角值越大, 则各向异性对强度贡献程度越大, 对应更大的应力比强度值, 反之, 则对应更小的应力比强度值. 基于上述思路并类比将其推广为正交三维各向异性准则, 基于三维各向异性材料的三维沉积面, 提出了三维特征沉积面的概念, 并基于空间滑移面与三维特征沉积面之间的夹角作为度量各向异性程度的变量, 提出了基于两面角作为参量考虑原生各向异性的应力比强度公式, 并利用该应力比强度公式来修正已提出的t强度准则, 最终建立了考虑各向异性影响的t准则公式. 在上述准则基础上, 考虑将各向异性应力空间转换为各向同性应力空间的思路, 在各向异性t准则基础上, 推导得到了基于各向异性强度t准则的变换应力公式, 利用变换应力公式可以将传统的以p, q为变量的各向同性本构模型转变为可考虑各向异性的三维本构模型. 通过对岩土材料的强度以及真三轴条件下的应力应变关系试验数据预测, 验证了所提的各向异性t准则及其变换应力公式的有效性及适用性.

Abstract: Geotechnical materials are usually distributed horizontally in layers, which can be regarded as transverse isotropic materials. Transverse isotropy has a significant effect on the deformation and strength of geotechnical materials. Based on the proposed t-strength criterion, the t-strength criterion is proposed on the physical concept of the existence of an effective slip plane in the isotropic element body, and the failure condition is fulfilled when the ratio of the principal shear stress to the principal normal stress on the space effective slip plane reaches a certain threshold. Effective slip plane in space and physical deposition surface, based on the position relationship between the two surfaces in the space, the idea is proposed that two surfaces angle as a characterization of transverse isotropy can influence the shear strength parameters, and assume that when the angle of value, the greater the strength of the anisotropy of the contribution degree is, the greater the corresponding stress ratio strength value is, on the contrary, the corresponding smaller stress ratio strength value is. Based on the above ideas, the two surfaces angle is regarded as a parameter to construct anisotropic stress ratio strength formula, and use the stress strength formula for correction, a new anisotropic criterion has been put forward based on t strength criterion, finally transverse isotropic t criterion formula of strength criterion is proposed. On the basis of the above criteria, considering transverse isotropic stress space into isotropic stress space, based on the rule of anisotropic t, transformation equation is derived based on the transverse isotropic strength t criterion. It can be used to convert the traditional p and q as the variables of the isotropic constitutive model into the transverse isotropic three-dimensional constitutive model. By predicting the strength of rock and soil materials and the stress-strain relationship test data under true triaxial condition, the validity and applicability of the proposed transverse isotropic t criterion and its stress transformation formula are verified.

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