Some Basis-Free Formulae for the Time Rate and Conjugate Stress of Logarithmic Strain Tensor

Dui, Guansuo

doi:10.1007/s10659-005-9039-8

Cited by 10 publications

(19 citation statements)

References 25 publications

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“…According to meso-mechanics it has been revealed that failure of structure plane is affected not only by the mechanical property of filling in plane but also by the geometry, microscopic structure as well as the filling percentage [78,79]. Dui et al [80][81][82][83] developed the basic theory of meso-mechanics. They obtained an explicit theoretical solution of Eshelby tensor for transversely isotropic inclusion; and proposed the meso-mechanics model of multiple medium for analyzing fractured layer rock; established several non-linear constitutive models ( Figure 5) for structure plane, which can reflect the post-peak softening due to wear of ledges on the plane, the coupling in normal and tangential directions, and the effect of the filling material.…”

Section: The Damage Mechanism Of Dam Concrete and Foundation Rockmentioning

confidence: 99%

Research advance in failure risk and local strength failure for high arch dams

Ren

Liu

2012

Chin. Sci. Bull.

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To develop national economy and use the water resources and hydropower resources sufficiently, a lot of high arch dams, with the height of more than 200 m, have been and will be built in China. Although arch dams have good mechanical behavior, there is still failure possibility due to the huge water pressure and high stress level in dam, complex topographic and geologic conditions, formidable environment and high intensity earthquake. As one of the three main aspects concerning the safety of high arch dam, the study on global destruction, has been elaborated in the literatures, and research advance in the other two aspects, namely the failure risk and local damage of high arch dams, will be reviewed in this paper. In recent years, the failure risk of high arch dams has been investigated, and the model for identifying dam failure risk factors has been established. It is shown that the foundation deterioration and strong earthquake are the major risk sources for high dam failure. With the fault tree method, the failure mode and failure probability of high arch dams are studied, and the principle for determining failure mode and the method of calculating failure probability are proposed. Meanwhile, the determination principle of acceptable risk standard for high arch dam was proposed, and the acceptable risk rate and the acceptable standard value of various risk losses were given. For the local damage of arch dam, it is pointed out that the local damage belongs to the strength failure at material level. The study on local failure mechanism of arch dam is reviewed, based on the theories that from traditional strength theory to damage mechanics and meso-mechanics theory. Aiming at the cracking, the main pattern of local failure of high concrete dam, the research advances in the analysis methods and cracking criteria for smeared crack model and discrete crack model are summarized, and the research findings of preventive measures for local failure are shown. high arch dam, failure risk, local damage, research advance Citation:Ren Q W, Li Q, Liu S. Research advance in failure risk and local strength failure for high arch dams. Chin Sci Bull, 2012Bull, , 57: 46724682, doi: 10.1007 To develop national economy, to save energy and to reduce emission, exploitation and utilization of water resources and hydropower resources are continued in China. At present, the height of arch dams under construction and to be built are of 300 m high level, such as Jinping arch dam (305 m high), Xiaowan arch dam (294.5 m high), Xiluodu arch dam (285.5 m high), and Baihetan arch dam (289 m high). The construction scale and difficulty of these dams are beyond the current design specifications, and there is hardly successful precedential reference. Moreover most of these high arch dams are located in the western region of China, where the topographic and geologic conditions are quite complex, with harsh environment and high seismic intensity as well as frequent geological disasters. In addition the resistance of dam and foundation may be red...

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Section: The Damage Mechanism Of Dam Concrete and Foundation Rockmentioning

confidence: 99%

Research advance in failure risk and local strength failure for high arch dams

Ren

Liu

2012

Chin. Sci. Bull.

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“…for the unknown X in terms of Y which is either symmetric or skew, and X is of the opposite parity [5]. The equation can be written …”

Section: Application To Strain Measure Functionsmentioning

confidence: 99%

Higher derivatives and the inverse derivative of a tensor-valued function of a tensor

Norris

2008

Quart. Appl. Math.

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“…The first term on the right-hand side of (97) is the coaxial part of (e (2) ) J with V in the case of distinct principal stretches. The other terms are orthogonal to V.…”

Section: Basis-free Expression In the Case Of Distinct Principal Strementioning

confidence: 99%

“…Hence, some authors have been attracted to derive expressions for them during the past decades. In the context of providing expressions for the material time derivative or material time rate of kinematic tensors, specially the material time rate of strain measures, the works of Hill [10,11], Gurtin and Spear [5], Guo [6], Guo and Dubey [7], Hoger and Carlson [13], Hoger [12], Mehrabadi and Nemat-Nasser [17], Guo et al [8], Scheidler [23,24], Wang and Duan [26], Man and Guo [16], Naghdabadi et al [19], Xiao [27,29] and Dui et al [2,3] can be mentioned.…”

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confidence: 99%