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弹性损伤理论的几何-拓扑描述 被引量:3
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作者 王云 郝际平 《工程力学》 EI CSCD 北大核心 2008年第5期60-66,共7页
材料内部微观几何缺陷通常是作为物理非线性问题在本构方程中考虑。针对连续介质弹性损伤理论作几何拓扑,采用非完整标架方法把材料内部微观几何缺陷转化为材料空间的弯曲,并体现在基本几何法则中。首先由连续损伤变量定义拟塑性张量,... 材料内部微观几何缺陷通常是作为物理非线性问题在本构方程中考虑。针对连续介质弹性损伤理论作几何拓扑,采用非完整标架方法把材料内部微观几何缺陷转化为材料空间的弯曲,并体现在基本几何法则中。首先由连续损伤变量定义拟塑性张量,给出这些基本张量所满足的连续性方程和基本几何法则。由此建立了弹性损伤缺陷与Riemann流形的对应关系,将物理非线性问题转化为物理线性和材料所在空间的弯曲之和。最后讨论了二维情况下,各向同性晶格材料受各向异性损伤的算例。 展开更多
关键词 弹性损伤 物理非线性 几何拓扑 微分几何 非完整标架 拟塑性应变张量 Riemann空间 变形非协调
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含微缺陷金属材料损伤理论的几何拓扑 被引量:3
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作者 王云 郝际平 《建筑钢结构进展》 2009年第1期49-53,共5页
本文针对含微缺陷金属材料损伤理论进行几何拓扑,采用非完整标架的方法把金属材料内部微观几何缺陷拓扑为材料空间的弯曲,并体现在几何方程中。首先通过释放应力将平直Euclid空间缺陷物质流形与Riemann流形建立对应关系,给出Riemann流... 本文针对含微缺陷金属材料损伤理论进行几何拓扑,采用非完整标架的方法把金属材料内部微观几何缺陷拓扑为材料空间的弯曲,并体现在几何方程中。首先通过释放应力将平直Euclid空间缺陷物质流形与Riemann流形建立对应关系,给出Riemann流形中含微缺陷金属材料的应变、应力状态以及几何法则、静力平衡方程,将物理非线性问题转化为物理线性问题和材料空间弯曲之和。最后讨论了二维情况下金属材料受各向异性损伤的算例。 展开更多
关键词 损伤理论 几何拓扑 微分几何 非完整标架 拟塑性应变张量 Riemann空间
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几何-拓扑法建立的Riemannian空间弹性损伤连续性方程 被引量:2
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作者 郝际平 李传利 《西安建筑科技大学学报(自然科学版)》 CSCD 北大核心 2008年第4期561-566,共6页
损伤力学发展至今,涌现出了各种各样的损伤力学理论,但尚未出现比较公认的普遍的理论.并且在解决更复杂的损伤问题时碰到了更多的困难.用几何-拓扑的方法将弹性损伤缺陷与Riemannian空间建立了对应关系,把材料的这种物理缺陷转化为几何... 损伤力学发展至今,涌现出了各种各样的损伤力学理论,但尚未出现比较公认的普遍的理论.并且在解决更复杂的损伤问题时碰到了更多的困难.用几何-拓扑的方法将弹性损伤缺陷与Riemannian空间建立了对应关系,把材料的这种物理缺陷转化为几何缺陷.由连续损伤变量定义了拟塑性损伤因子张量,再由拟塑性应变张量出发,推导出了Riemannian空间中的弹性损伤连续性方程.从而将一个非线性问题转化为一个线性问题和一个弯曲空间的叠加. 展开更多
关键词 弹性损伤 Riemannian空间 塑性损伤因子张量 拟塑性应变张量 异物张量 Bianchi恒等式 连续性方程
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受损介质变形非协调模型 被引量:1
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作者 王云 郝际平 《西安建筑科技大学学报(自然科学版)》 CSCD 北大核心 2008年第3期331-334,共4页
当介质受损即内部存在微观几何缺陷时,将不能满足变形协调条件.从连续介质损伤理论出发,建立受损介质的变形非协调模型.首先由四阶损伤影响张量定义拟塑性应变张量,并提出假定:总应变由弹性应变和拟塑性应变两部分组成,且总应变是协调的... 当介质受损即内部存在微观几何缺陷时,将不能满足变形协调条件.从连续介质损伤理论出发,建立受损介质的变形非协调模型.首先由四阶损伤影响张量定义拟塑性应变张量,并提出假定:总应变由弹性应变和拟塑性应变两部分组成,且总应变是协调的;拟塑性应变不产生应力,只描述受损介质内部结构变化.最后算例中分别从考虑和不考虑损伤主值之间耦合作用两种情况讨论了二维情况下各向同性材料受各向异性损伤的变形非协调模型.该模型显著拓展了弹塑性模型描述能力,形式简单、物理意义明确,易于工程中应用. 展开更多
关键词 损伤力学 变形非协调模型 受损介质 拟塑性应变 损伤影响张量
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弹性损伤理论的几何-拓扑模型
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作者 李传利 李艳莉 《河南科技大学学报(自然科学版)》 CAS 北大核心 2010年第1期94-97,共4页
利用几何-拓扑的方法对弹性损伤进行描述,通过定义的拟塑性应变张量和拟塑性损伤因子张量,使不同材料具有不同损伤机制的损伤模型具有了一致的形式,使材料和损伤机制的不同仅体现在相应的拟塑性应变张量和拟塑性损伤因子张量具有不同的... 利用几何-拓扑的方法对弹性损伤进行描述,通过定义的拟塑性应变张量和拟塑性损伤因子张量,使不同材料具有不同损伤机制的损伤模型具有了一致的形式,使材料和损伤机制的不同仅体现在相应的拟塑性应变张量和拟塑性损伤因子张量具有不同的表达式。本文利用几何拓扑的方法推导出了Riemannian空间的弹性损伤连续性方程、几何法则,将材料的这种物理缺陷转化为几何缺陷来加以考虑,使弹性损伤问题转变成为一个弹性问题和一个弯曲空间的叠加。从而避免了其他损伤理论在求解损伤问题时因非线性方程组的复杂性而存在的困难,为研究损伤力学和解决非线性问题提供了一种新的思路。 展开更多
关键词 弹性损伤 Riemannian空间 塑性损伤因子张量 拟塑性应变张量 异物张量
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Plastic characterization of metals by combining nanoindentation test and finite element simulation 被引量:5
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《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第8期2368-2373,共6页
Materials with the same elastic modulus E and representative stress and strain (σr,εr) present similar indentation-loading curves, whatever the value of strain hardening exponent n. Based on this definition, a goo... Materials with the same elastic modulus E and representative stress and strain (σr,εr) present similar indentation-loading curves, whatever the value of strain hardening exponent n. Based on this definition, a good approach was proposed to extract the plastic properties or constitutive equations of metals from nanoindentation test combining finite element simulation. Firstly, without consideration of strain hardening, the representative stress was determined by varying assumed representative stress over a wide range until a good agreement was reached between the computed and experimental loading curves. Similarly, the corresponding representative strain was determined with different hypothetical values of strain hardening exponent in the range of 0-0.6. Through modulating assumed strain hardening exponent values to make the computed unloading curve coincide with that of the experiment, the real strain hardening exponent was acquired. Once the strain hardening exponent was determined, the initial yield stress ay of metals could be obtained by the power law constitution. The validity of the proposed methodology was verified by three real metals: AISI 304 steel, Fe andA1 alloy. 展开更多
关键词 NANOINDENTATION finite element simulation representative stress representative stain initial yield stress
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Effect of strain hardening and strain softening on welding distortion and residual stress of A7N01-T4 aluminum alloy by simulation analysis 被引量:8
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作者 闫德俊 刘雪松 +2 位作者 李军 杨建国 方洪渊 《Journal of Central South University》 SCIE EI CAS 2010年第4期666-673,共8页
The effect of strain hardening and strain softening behavior of flow stress changing with temperature on welding residual stress, plastic strain and welding distortion of ATN0 1-T4 aluminum alloy was studied by finite... The effect of strain hardening and strain softening behavior of flow stress changing with temperature on welding residual stress, plastic strain and welding distortion of ATN0 1-T4 aluminum alloy was studied by finite simulation method. The simulation results show that the weld seam undergoes strain hardening in the temperature range of 180-250 ℃, however, it exhibits strain softening at temperature above 250 ℃ during welding heating and cooling process. As a result, the strain hardening and strain softening effects counteract each other, introducing slightly influence on the welding residual stress, residual plastic strain and distortion. The welding longitudinal residual stress was determined by ultrasonic stress measurement method for the flat plates of A7N01-T4 aluminum alloy. The simulation results are well accordant with test ones. 展开更多
关键词 strain hardening strain softening plastic strain welding residual stress
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Experimental investigation and numerical modeling for elastoplastic notch-root stress/strain analysis under monotonic loadings 被引量:3
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作者 HUANG Jia SHI DuoQi +2 位作者 YANG XiaoGuang PAN Bing SHI Hao 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第7期1411-1424,共14页
Experimental investigation and numerical modeling on elasto-plastic notch-root stress/strain distributions under monotonic loadings of both the Ni-based directionally solidified(DS)superalloy and Titanium alloy were c... Experimental investigation and numerical modeling on elasto-plastic notch-root stress/strain distributions under monotonic loadings of both the Ni-based directionally solidified(DS)superalloy and Titanium alloy were carried out simultaneously.For measuring inhomogeneous deformation fields at notch roots,an optical-numerical full-field surface deformation measurement system was developed based on the digital image correlation(DIC)method.The obtained strain distributions were then verified with reasonable accuracy by finite element simulation,where an anisotropic elastic-viscoplastic constitutive model was developed for DS superalloy and a simple isotropic stress-strain relationship was adopted for Titanium alloy.Meanwhile,factors affecting elasto-plastic notch-root stress/strain distributions were systematically investigated numerically,where the emphasis was placed on temperature,loading stress rate,sample shape,anisotropy and notch features.The results show that stress/strain behavior at notch root is significantly affected by the mentioned factors,which are concretely embodied in the distribution of tensile stress/strain,equivalent stress and accumulative equivalent plastic strain. 展开更多
关键词 digital image correlation notch analysis monotonic loading ANISOTROPY STRESS-STRAIN
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