高延性混凝土多轴强度准则
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摘要
高延性混凝土存在纤维桥联作用和应变硬化特征,与普通混凝土的破坏机制有较大差异。为研究高延性混凝土的多轴强度准则,对6种古典强度理论的适用条件和局限性进行了分析;根据高延性混凝土的内部约束机制和受力特点,对比分析了过-王强度准则与高延性混凝土的试验结果;最后采用五参数统一强度理论,建立了适合高延性混凝土的多轴强度准则。研究结果表明:过-王强度准则不能准确描述高延性混凝土的破坏情况,通过五参数统一强度理论确定的高延性混凝土强度准则表达式简单,具有清晰的物理概念和力学模型,与试验结果吻合较好。
High ductile concrete has the characteristics of fiber bridging and pseudo strain hardening,which is different from the failure mechanism of ordinary concrete. For studying the multi-axial strength criterion of high ductile concrete,six classical strength theories' applicable conditions and limitations were analyzed,Guo-Wang strength criterion and the experimental results of high ductile concrete were compared according to the internal constraint mechanism and stress characteristics. Finally,multi-axial strength criterion of high ductile concrete based on five parameter unified strength theory was established.The results show that Guo-Wang strength criterion can not accurately describe the damage of high ductile concrete. The strength criterion of high ductile concrete based on five parameter unified strength theory with clear physical concepts and simple mechanical models is in good agreement with the experimental results. The expression is relatively concise and convenient for engineering applications.
High ductile concrete has the characteristics of fiber bridging and pseudo strain hardening,which is different from the failure mechanism of ordinary concrete. For studying the multi-axial strength criterion of high ductile concrete,six classical strength theories' applicable conditions and limitations were analyzed,Guo-Wang strength criterion and the experimental results of high ductile concrete were compared according to the internal constraint mechanism and stress characteristics. Finally,multi-axial strength criterion of high ductile concrete based on five parameter unified strength theory was established.The results show that Guo-Wang strength criterion can not accurately describe the damage of high ductile concrete. The strength criterion of high ductile concrete based on five parameter unified strength theory with clear physical concepts and simple mechanical models is in good agreement with the experimental results. The expression is relatively concise and convenient for engineering applications.
引文
[1]俞茂宏.混凝土强度理论及其应用[M].北京:高等教育出版社,2002.
[2]俞茂宏.古典强度理论及其发展[J].力学与实践,1980,2(2):20-25.
[3] Ottosen N S. A failure criterion for concrete[J]. Journal of Engineering Mechanics,1977,103(4):527-535.
[4] Hsieh S S,Chen W F,Ting E C. An elastic-fracture model for concrete[C]. Engineering Mechanics(1979). ASCE,2014:437-440.
[5] William K J,Warnke E P. Constitutive model for the triaxial behavior of concrete[J]. International Association for Bridge&Structural Engineering Proceedings,1975,19:1-30.
[6]过镇海,王传志.多轴应力下混凝土的强度和破坏准则研究[J].土木工程学报,1991(3):1-14.
[7] Yu M H. A new model and theory on yield and failure of materials under the complex stress state[C]. Mechanical Behavior of Materials,1991:841-846.
[8]俞茂宏,赵坚.岩石,混凝土强度理论:历史,现况,发展[J].自然科学进展,1997(6):653-660.
[9]俞茂宏.工程强度理论[M].北京:高等教育出版社,1999.
[10] Fan S C,Wang F. A new strength criterion for concrete[J]. Aci. Structural Journal,2002,99(3):317-326.
[11]王立成,日和田·希与志.基于统一强度理论的轻骨料混凝土多轴强度准则[J].工程力学,2006,23(5):125-131.
[12]李艳,温丛格.工程纤维增强水泥基复合材料PVA-ECC单轴受拉性能研究[J].混凝土,2015(9):31-35.
[13]邓明科,孙宏哲,梁兴文,等.延性纤维混凝土抗弯性能试验研究[J].工业建筑,2014,20(5):85-90.
[14]邓明科,寇佳亮,梁兴文,等.延性纤维混凝土剪力墙抗震性能试验研究[J].工程力学,2014,31(7):170-177.
[15]梁兴文,王英俊,邢朋涛,等.局部采用纤维增强混凝土梁柱节点抗震性能试验研究[J].工程力学,2016,33(4):67-76.
[16]邓明科,卢化松,杨开屏,等.型钢高延性混凝土短梁抗剪性能试验研究[J].建筑结构学报,2015,36(10):73-80.
[17] Molapo K T. The behaviour of Strain-hardening cement composites under biaxial compression[D]. Stellenbosch:University of Stellenbosch,2010:28-53
[18] Zhou J J,Pan J L,Ying L C K,et al. Experimental study on mechanical behaviors of pseudo-ductile cementitious composites under biaxial compression[J].中国科学:技术科学,2013,56(4):963-969.
[19]潘金龙,何佶轩,王路平,等. ECC双轴压力学性能及破坏准则试验研究[J].工程力学,2016,33(6):186-193.
[20]李艳,梁兴文,邓明科.高性能PVA纤维增强水泥基复合材料常规三轴受压本构模型[J].工程力学,2012,29(1):106-113.
[21]李艳,王伟伟,温从格. ECC常规三轴受压力学性能试验研究[J].混凝土,2016(1):59-63.
[22] Podgórski J. General failure criterion for isotropic media[J]. Journal of Engineering Mechanics,1985,111(2):188-201.
[23] Bresler B,Pister K S. Strength of concrete under combined stresses[J]. Journal of ACI,1958,55(9):321-346.
[24] Reimann H. Kritische spannungszustande des betons bei mehrachsiger ruhender kurzzeitbelastung[R]. Deutscher Ausschuss fur Stahlbeton. Heft175,Berlin,1965.
[25] Kotsovos M D. A mathematical description of the strength properties of concrete under generalized stress[J]. Magazine of Concrete Research,1979,31(108):151-158.
[26]宋玉普,赵国藩.应变空间混凝土的破坏准则[J].大连理工大学学报,1991(4):455-462.
[27]部门中华人民共和国住房和城乡建设部. GB 50010-2002混凝土结构设计规范[S].北京:中国建筑工业出版社,2002.
[28]邓明科,刘海勃,秦萌,等.高延性纤维混凝土抗压韧性试验研究[J].西安建筑科技大学学报(自然科学版),2015,47(5):660-665.
[29]俞茂宏.复杂应力状态下材料屈服和破坏的一个新模型及其系列理论[J].力学学报,1989,21(s1):42-49.
[2]俞茂宏.古典强度理论及其发展[J].力学与实践,1980,2(2):20-25.
[3] Ottosen N S. A failure criterion for concrete[J]. Journal of Engineering Mechanics,1977,103(4):527-535.
[4] Hsieh S S,Chen W F,Ting E C. An elastic-fracture model for concrete[C]. Engineering Mechanics(1979). ASCE,2014:437-440.
[5] William K J,Warnke E P. Constitutive model for the triaxial behavior of concrete[J]. International Association for Bridge&Structural Engineering Proceedings,1975,19:1-30.
[6]过镇海,王传志.多轴应力下混凝土的强度和破坏准则研究[J].土木工程学报,1991(3):1-14.
[7] Yu M H. A new model and theory on yield and failure of materials under the complex stress state[C]. Mechanical Behavior of Materials,1991:841-846.
[8]俞茂宏,赵坚.岩石,混凝土强度理论:历史,现况,发展[J].自然科学进展,1997(6):653-660.
[9]俞茂宏.工程强度理论[M].北京:高等教育出版社,1999.
[10] Fan S C,Wang F. A new strength criterion for concrete[J]. Aci. Structural Journal,2002,99(3):317-326.
[11]王立成,日和田·希与志.基于统一强度理论的轻骨料混凝土多轴强度准则[J].工程力学,2006,23(5):125-131.
[12]李艳,温丛格.工程纤维增强水泥基复合材料PVA-ECC单轴受拉性能研究[J].混凝土,2015(9):31-35.
[13]邓明科,孙宏哲,梁兴文,等.延性纤维混凝土抗弯性能试验研究[J].工业建筑,2014,20(5):85-90.
[14]邓明科,寇佳亮,梁兴文,等.延性纤维混凝土剪力墙抗震性能试验研究[J].工程力学,2014,31(7):170-177.
[15]梁兴文,王英俊,邢朋涛,等.局部采用纤维增强混凝土梁柱节点抗震性能试验研究[J].工程力学,2016,33(4):67-76.
[16]邓明科,卢化松,杨开屏,等.型钢高延性混凝土短梁抗剪性能试验研究[J].建筑结构学报,2015,36(10):73-80.
[17] Molapo K T. The behaviour of Strain-hardening cement composites under biaxial compression[D]. Stellenbosch:University of Stellenbosch,2010:28-53
[18] Zhou J J,Pan J L,Ying L C K,et al. Experimental study on mechanical behaviors of pseudo-ductile cementitious composites under biaxial compression[J].中国科学:技术科学,2013,56(4):963-969.
[19]潘金龙,何佶轩,王路平,等. ECC双轴压力学性能及破坏准则试验研究[J].工程力学,2016,33(6):186-193.
[20]李艳,梁兴文,邓明科.高性能PVA纤维增强水泥基复合材料常规三轴受压本构模型[J].工程力学,2012,29(1):106-113.
[21]李艳,王伟伟,温从格. ECC常规三轴受压力学性能试验研究[J].混凝土,2016(1):59-63.
[22] Podgórski J. General failure criterion for isotropic media[J]. Journal of Engineering Mechanics,1985,111(2):188-201.
[23] Bresler B,Pister K S. Strength of concrete under combined stresses[J]. Journal of ACI,1958,55(9):321-346.
[24] Reimann H. Kritische spannungszustande des betons bei mehrachsiger ruhender kurzzeitbelastung[R]. Deutscher Ausschuss fur Stahlbeton. Heft175,Berlin,1965.
[25] Kotsovos M D. A mathematical description of the strength properties of concrete under generalized stress[J]. Magazine of Concrete Research,1979,31(108):151-158.
[26]宋玉普,赵国藩.应变空间混凝土的破坏准则[J].大连理工大学学报,1991(4):455-462.
[27]部门中华人民共和国住房和城乡建设部. GB 50010-2002混凝土结构设计规范[S].北京:中国建筑工业出版社,2002.
[28]邓明科,刘海勃,秦萌,等.高延性纤维混凝土抗压韧性试验研究[J].西安建筑科技大学学报(自然科学版),2015,47(5):660-665.
[29]俞茂宏.复杂应力状态下材料屈服和破坏的一个新模型及其系列理论[J].力学学报,1989,21(s1):42-49.