Based on the static compression experiments, the compressive stress-strain curve of multi-layer corrugated boards is simplified into three sections of linear elasticity, sub-buckling going with local collapse and dens...Based on the static compression experiments, the compressive stress-strain curve of multi-layer corrugated boards is simplified into three sections of linear elasticity, sub-buckling going with local collapse and densification. By considering the structure factors of multi-layer corrugated boards, the energy absorption model is obtained and characterized by the structure factors of corrugated cell-wall. The model is standardized by the solid modulus and it is universal for corrugated structures of different basis material. In the liner-elastic section, with the increase of the load, the energy absorption per unit volume of multi-layer corrugated boards gradually increases; in the sub-buckling section going with local collapse, the compression resistance of multi-layer corrugated boards goes on under a nearly constant load, but the energy absorption per unit volume rapidly increases with the increase of the compression strain. It is shown as an ascending curve in the energy absorption diagram. In the densification section, the corrugated sandwich core has no energy absorption capability. A good consistency is achieved between theoretical and experimental energy absorption curves. In designing the cushioning package, the cushioning properties can be evaluated by the theoretical model without more experiments. The suggested method to develop the energy absorption diagram for corrugated boards can be used to characterize the cushioning properties and optimize the structures of corrugated sandwich structures.展开更多
Considering strain localization in the form of a narrow band initiated just at peak stress, three analytical expressions for stressstrain curves of quasibrittle geomaterial (such as rock and concrete) in uniaxial tens...Considering strain localization in the form of a narrow band initiated just at peak stress, three analytical expressions for stressstrain curves of quasibrittle geomaterial (such as rock and concrete) in uniaxial tension, direct shear and uniaxial compression were presented, respectively. The three derived stressstrain curves were generalized as a unified formula. Beyond the onset of strain localization, a linear strain-softening constitutive relation for localized band was assigned. The size of the band was controlled by internal or characteristic length according to gradient-dependent plasticity. Elastic strain within the entire specimen was assumed to be uniform and decreased with the increase of plastic strain in localized band. Total strain of the specimen was decomposed into elastic and plastic parts. Plastic strain of the specimen was the average value of plastic strains in localized band over the entire specimen. For different heights, the predicted softening branches of the relative stressstrain curves in uniaxial compression are consistent with the previously experimental results for normal concrete specimens. The present expressions for the post-peak stressdeformation curves in uniaxial tension and direct shear agree with the previously numerical results based on gradient-dependent plasticity.展开更多
By combining the effective Hamiltonian approach and direct ab initio computation, we obtain the phase diagram of SnTiO3with respect to epitaxial strain and temperature. This demonstrates the complex features of the ph...By combining the effective Hamiltonian approach and direct ab initio computation, we obtain the phase diagram of SnTiO3with respect to epitaxial strain and temperature. This demonstrates the complex features of the phase diagram and provides an insight into this system, which is a presumably simple perovskite. Two triple points, as shown in the phase diagram, may be exploited to achieve high-performance piezoelectric effects. Despite the inclusion of the degree of freedom related to oxygen octahedron tilting, the ferroelectric displacements dominate the structural phases over the whole misfit strain range. Finally, we show that SnTiO3can change from hard to soft ferroelectrics with the epitaxial strain.展开更多
Extensional basins include mainly grabens and half grabens displaced along alower detachment. Based on area balance theory, there is a linear relationship between a height ofregional and the lower detachment h on the ...Extensional basins include mainly grabens and half grabens displaced along alower detachment. Based on area balance theory, there is a linear relationship between a height ofregional and the lower detachment h on the outside of the basin and 'lost area S' from the regionalin the basin. The pre-growth beds above lower detachment are of the same extensional displacement sothat an 'S-h diagram' can be used to determine the depth to lower detachment and to calculate thetotal extensional displacement of the beds above the lower detachment. The extensional displacementis dominated by the heave of various scale normal faults. The displacement of obvious faults can beimmediately figured out from the measured bed-length. The requisite extension calculated by areabalance is the layer-parallel strain, which could be accommodated by displacement on sub-resolutionfaults. Accordingly, the layer-parallel strain can help us predict the magnitude and distribution ofsub-resolution faults on the basis of analysis of the structural style and rheological behavior.展开更多
基金Funded by the National Natural Science Foundation of China (No.50905120)
文摘Based on the static compression experiments, the compressive stress-strain curve of multi-layer corrugated boards is simplified into three sections of linear elasticity, sub-buckling going with local collapse and densification. By considering the structure factors of multi-layer corrugated boards, the energy absorption model is obtained and characterized by the structure factors of corrugated cell-wall. The model is standardized by the solid modulus and it is universal for corrugated structures of different basis material. In the liner-elastic section, with the increase of the load, the energy absorption per unit volume of multi-layer corrugated boards gradually increases; in the sub-buckling section going with local collapse, the compression resistance of multi-layer corrugated boards goes on under a nearly constant load, but the energy absorption per unit volume rapidly increases with the increase of the compression strain. It is shown as an ascending curve in the energy absorption diagram. In the densification section, the corrugated sandwich core has no energy absorption capability. A good consistency is achieved between theoretical and experimental energy absorption curves. In designing the cushioning package, the cushioning properties can be evaluated by the theoretical model without more experiments. The suggested method to develop the energy absorption diagram for corrugated boards can be used to characterize the cushioning properties and optimize the structures of corrugated sandwich structures.
文摘Considering strain localization in the form of a narrow band initiated just at peak stress, three analytical expressions for stressstrain curves of quasibrittle geomaterial (such as rock and concrete) in uniaxial tension, direct shear and uniaxial compression were presented, respectively. The three derived stressstrain curves were generalized as a unified formula. Beyond the onset of strain localization, a linear strain-softening constitutive relation for localized band was assigned. The size of the band was controlled by internal or characteristic length according to gradient-dependent plasticity. Elastic strain within the entire specimen was assumed to be uniform and decreased with the increase of plastic strain in localized band. Total strain of the specimen was decomposed into elastic and plastic parts. Plastic strain of the specimen was the average value of plastic strains in localized band over the entire specimen. For different heights, the predicted softening branches of the relative stressstrain curves in uniaxial compression are consistent with the previously experimental results for normal concrete specimens. The present expressions for the post-peak stressdeformation curves in uniaxial tension and direct shear agree with the previously numerical results based on gradient-dependent plasticity.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11574246,51390472,U1537210,and 11564010)the National Basic Research Program of China(Grant No.2015CB654903)+1 种基金the Natural Science Foundation of Guangxi Zhuang Autonomous Region(Grant Nos.GA139008 and AA138162)the “111” Project of China(Grant No.B14040)
文摘By combining the effective Hamiltonian approach and direct ab initio computation, we obtain the phase diagram of SnTiO3with respect to epitaxial strain and temperature. This demonstrates the complex features of the phase diagram and provides an insight into this system, which is a presumably simple perovskite. Two triple points, as shown in the phase diagram, may be exploited to achieve high-performance piezoelectric effects. Despite the inclusion of the degree of freedom related to oxygen octahedron tilting, the ferroelectric displacements dominate the structural phases over the whole misfit strain range. Finally, we show that SnTiO3can change from hard to soft ferroelectrics with the epitaxial strain.
文摘Extensional basins include mainly grabens and half grabens displaced along alower detachment. Based on area balance theory, there is a linear relationship between a height ofregional and the lower detachment h on the outside of the basin and 'lost area S' from the regionalin the basin. The pre-growth beds above lower detachment are of the same extensional displacement sothat an 'S-h diagram' can be used to determine the depth to lower detachment and to calculate thetotal extensional displacement of the beds above the lower detachment. The extensional displacementis dominated by the heave of various scale normal faults. The displacement of obvious faults can beimmediately figured out from the measured bed-length. The requisite extension calculated by areabalance is the layer-parallel strain, which could be accommodated by displacement on sub-resolutionfaults. Accordingly, the layer-parallel strain can help us predict the magnitude and distribution ofsub-resolution faults on the basis of analysis of the structural style and rheological behavior.
