A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergr...A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergrid transfer operator and its error estimates,it is proved that the condition number is bounded by O(1 + (H4/δ4)),where H is the diameter of the subdomains and δ measures the overlap among subdomains.And for some special cases of small overlap,the estimate can be improved as O(1 + (H3/δ3)).At last,some numerical results are reported to demonstrate the high efficiency of the two-level additive Schwarz preconditioner.展开更多
In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.
Orthopedic bone plates are most commonly used for bone fracture fixation for more than 100 years.The bone plate design had evolved over time overcoming many challenges such as insufficient strength and excessive plate...Orthopedic bone plates are most commonly used for bone fracture fixation for more than 100 years.The bone plate design had evolved over time overcoming many challenges such as insufficient strength and excessive plate–bone contact affecting the blood circulation.However,it is only made of two materials,either stainless steel(AISI 316L)or titanium(Ti–6Al–4V).There are two main limitations of metallic bone implants,namely stress shielding and the problem of malocclusion caused by the displacement of the fracture site during healing.To overcome the two problems,a new bone plate design with the incorporation of auxetic structures is proposed in this work.This study aims to use auxetic structure section in the bone plate that would decrease the stiffness of the region,thereby mitigating the stress-shielding effect and at the same time act as a deformable section to enable intra-operative bending for effective alignment while having enough bending strength and stiffness.Two different auxetic structures namely re-entrant honeycomb and missing rib structures were considered.The auxetic structure incorporated bone plates were designed,finite element analysis was done,fabricated using direct metal laser sintering technique,and tested.The results indicate that the re-entrant honeycomb structure incorporated bone plates serve as an effective bone design compared to the conventional bone plate design,in terms of stress shielding and intra-operative bending while offering similar mechanical and bending strength.展开更多
The geometries of the molecules of eight organic additives were optimized and the net charge,E HOMO andE LUMO were obtained using AM method, respectively. The result shows that there is the correlation between the lev...The geometries of the molecules of eight organic additives were optimized and the net charge,E HOMO andE LUMO were obtained using AM method, respectively. The result shows that there is the correlation between the leveling property and the frontier orbital energy levels of these additives, and the adsorption models and leveling mechanics were discussed. The rule between the frontier orbital energy levels and the leveling property is verified by the experiments.展开更多
To response the demand for fine line in electronic products,additive manufacturing process integrated printing techniques and deposited methods to reach fine line circuit,with the merits of reduced material wastage,lo...To response the demand for fine line in electronic products,additive manufacturing process integrated printing techniques and deposited methods to reach fine line circuit,with the merits of reduced material wastage,low fabrication costs,and mass production advantage capability.Recently,we have developed additive process in fabricating circuit on flexible substrate through catalyst induced copper electroless deposition(ELD)method.The additive processes that integrated printing,activation,and metallization were applied to produce fine-line circuit with 5μm line width.The sample with ultraviolet(UV)activation shows better conductive property in comparison with the sample without activation after electroless deposited process.Accordingly,the results indicated that the reaction of catalyst induced electroless copper plating strongly depends on UV activation.The fine-line circuit exhibits a narrow line width circuit(around 5μm),lower resistance(6.2μΩ·cm),and mass production with low pollution in comparison with lithographic processes(with photoresist and acid pollution)with a high throughput system(R2R system)for the applications of double side flexible printed circuit board(FPCB).展开更多
文摘A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhoff plates.Then with the help of an intergrid transfer operator and its error estimates,it is proved that the condition number is bounded by O(1 + (H4/δ4)),where H is the diameter of the subdomains and δ measures the overlap among subdomains.And for some special cases of small overlap,the estimate can be improved as O(1 + (H3/δ3)).At last,some numerical results are reported to demonstrate the high efficiency of the two-level additive Schwarz preconditioner.
文摘In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.
文摘Orthopedic bone plates are most commonly used for bone fracture fixation for more than 100 years.The bone plate design had evolved over time overcoming many challenges such as insufficient strength and excessive plate–bone contact affecting the blood circulation.However,it is only made of two materials,either stainless steel(AISI 316L)or titanium(Ti–6Al–4V).There are two main limitations of metallic bone implants,namely stress shielding and the problem of malocclusion caused by the displacement of the fracture site during healing.To overcome the two problems,a new bone plate design with the incorporation of auxetic structures is proposed in this work.This study aims to use auxetic structure section in the bone plate that would decrease the stiffness of the region,thereby mitigating the stress-shielding effect and at the same time act as a deformable section to enable intra-operative bending for effective alignment while having enough bending strength and stiffness.Two different auxetic structures namely re-entrant honeycomb and missing rib structures were considered.The auxetic structure incorporated bone plates were designed,finite element analysis was done,fabricated using direct metal laser sintering technique,and tested.The results indicate that the re-entrant honeycomb structure incorporated bone plates serve as an effective bone design compared to the conventional bone plate design,in terms of stress shielding and intra-operative bending while offering similar mechanical and bending strength.
基金The National Natural Science Foundation of China(59331030)
文摘The geometries of the molecules of eight organic additives were optimized and the net charge,E HOMO andE LUMO were obtained using AM method, respectively. The result shows that there is the correlation between the leveling property and the frontier orbital energy levels of these additives, and the adsorption models and leveling mechanics were discussed. The rule between the frontier orbital energy levels and the leveling property is verified by the experiments.
基金the ministry of economic affairs in Taiwan under the contract number:J353J11100,is gratefully acknowledged.
文摘To response the demand for fine line in electronic products,additive manufacturing process integrated printing techniques and deposited methods to reach fine line circuit,with the merits of reduced material wastage,low fabrication costs,and mass production advantage capability.Recently,we have developed additive process in fabricating circuit on flexible substrate through catalyst induced copper electroless deposition(ELD)method.The additive processes that integrated printing,activation,and metallization were applied to produce fine-line circuit with 5μm line width.The sample with ultraviolet(UV)activation shows better conductive property in comparison with the sample without activation after electroless deposited process.Accordingly,the results indicated that the reaction of catalyst induced electroless copper plating strongly depends on UV activation.The fine-line circuit exhibits a narrow line width circuit(around 5μm),lower resistance(6.2μΩ·cm),and mass production with low pollution in comparison with lithographic processes(with photoresist and acid pollution)with a high throughput system(R2R system)for the applications of double side flexible printed circuit board(FPCB).
