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The instance shows that the method is reasonable and different parameters will affect the optimized results.
(5) They must satisfy two conditions of the displacement coordination and force balance in equilibrium equation of static structure properties.
Fig. 1 Mechanical model Fig. 2(a) pk=1.0 Fig. 2(b) pk=2.0 Fig. 2(c) pk=3. 0 Fig. 2 (d) pk=4.0 Fig. 2 (e) pk=5.0（matrix singular） Fig. 2 Optimizing results under different penalty factor of pk The Fig. 2 shows that different penalty factors have a great influence on the optimized results if the topology volume fraction and filter radius do not change.
The optimized result is messy when penalty factor pk = 2.0 in Fig. 2(b).
Moreover, the different penalty factors are discussed in the process of optimization.

Murugesan et al. studied the mechanical characterization of alkali treated Sansevieria cylindrica fibers–natural rubber composites, focusing on various factors that affected the properties of natural rubber composites and their applications in different sectors for sustainable development [5].
Jacob et al. studied the mechanical properties of sisal/oil palm hybrid fiber-reinforced natural rubber composites.
They reported that adding bonding agents gave shorter curing time and enhanced mechanical properties [7].
Effect of Modified Jute Fiber on Mechanical Properties of Green Rubber Composite, Energy Procedia. 56 (2014) 641 – 647
Zhou, Effect of surface modification of bamboo cellulose fibers on mechanical properties of cellulose/epoxy composites, Compos.: Part B. 51 (2013) 28-34.

The numerical simulation of reinforced concrete continuous deep beams with opening is analyzed by Finite Element Software ANSYS to establish reasonable mechanical model.
In the 1980s,inland scholars in order to get a better understanding of deep beams, set up a special organization on deep beams, conducted a series of experimental studies on simply supported deep beams, continuous deep beams and deep beams with opening, had a preliminary understanding of many aspects such as the way deep beams pass on force, the main factors affect carrying capacity.
In 2000, experiments on eleven reinforced concrete deep bending elements under the action of concentrated load and uniformly distributed load were conducted by Liu Lixinand other people[3], under the action of concentrated load the deep beams critical diagonal cracks craze from bearing chairs to loading point, as different shear-to-span ratios, there are three kinds of failures, diagonal compression failure, shear compression failure, diagonal tension failure; ritical diagonal cracks craze from bearing chairs to a quarter of the beam top span, diagonal compression failure will arise when high-to-span ratio is very small, shear compression failure will occur when high-to-span ratio is very big; shear-to-span ratio is the main factor affect deep bending elements shear strength, while shear strength also increases with increase of longitudinal stressed bar reinforcement ratios, turn to be linear relationship.
Mechanical Properties Studies on Continuous Deep Holed Beams Mechanical Model.
Analysis of Influence Factor to Shear Strength of RC Deep Beams, Journal of Wuhan University of Technology, 2007，29 (2): 65-67.

It is important for design for mechanical, electrical, thermal, chemical et al.
There are several influencing factors in the material selection process, and thus material selection problem is a multi-criteria decision making (MCDM) problem.
Introduction With the rapid development of information technology, material selection problem becomes easier than in the past with the constructed new databases or using existing databases of material properties [1].
Improper selection of materials may result in damage or failure of an assembly and significantly decreases the performance of products, thus negatively affecting productivity, profitability and reputation of enterprises [2, 3].
In this study, the evaluation criteria (influcing factors) are dielectric strength (), volume resistance (), dissipation factor (), dielectric constant (), thermal expansion () and relative cost ().

Introduction With the rapid development of the energy-saving related industry in recent years, strip steel has been in great demand for its excellent mechanical and electromagnetic characters.
The breakage of strip steel during cold rolling process is a kind of fracture of material in large deformation, which depends on macroscopic factors such as roll geometry, rolling speed, reduction ratio or pass schedule, lubrication or friction, alloy and temper, and mechanical properties as well as on microscopic factors such as microstructure and surface micro-topography.
Among the various defects in the strip steel, the edge crack is one of the most common surface flaws affecting the strip quality and would lead to the fracture of the strip steel[1].
Because the stress and strain fields in the strip steel are affected by many influencing factors, a large number of finite element models have been developed to analyze the rolling problem due to their ability in accurately predicting the details of process variables.
The value of the J-integral which is coupling the dynamic factors is calculated and its path-independent feature is analyzed.

And the factors influencing the thermal conductivity of aluminum alloy is summarized.
Introduction The aluminum alloy, which has some key properties like high thermal conductivity, excellent mechanical properties, easy to surface treatment and low price compared with gold, silver, copper which is high thermal conductivity materials, has been widely used as the heat dissipating material.
The mechanism, effect factors and improving measures of thermal conductivity are introduced briefly.
Effect of the Chemical Elements Chemical element in the aluminum alloy is one of the main factors that affect the performance of thermal conductivity.
Effect of a short solution time on microstructure and mechanical properties of modified Al-7wt%Mg alloy .Journal of Light metals,2(2002)27-36

The lightweight metal alloy Ti-6Al-4V is widely used in the aeronautical industry due to its excellent mechanical properties.
Introduction The use of lightweight metal alloys is a challenge for the transportation industry in general and the aeronautical one in particular since it involves both economic and environmental advantages due to the high strength to density ratio and other excellent mechanical properties these alloys show.
These tests allowed characterization of the mechanical properties and formability of the Ti-6Al-4V alloy at various conditions of straining.
From this analysis it can be concluded, see Fig. 4, that temperature and tool step are significant factors on the formability of Ti-6Al-4V and also its interaction.
Wall thickness profiles Material properties Microstructure.

Outer strengthening ring type has large rigidity and is convenient in construction, but it affects the service function of building.
In the same year, Y.M.Alostaz et al. analyzed how the different factors affect the node behavior with finite element software named Abacus, including the ratio of tube radius to thickness, axial load ratio, beam moment-shear ratio, which lay theoretical foundation for experimental research.
In 2001, D.X.Zhang et al. carried out quasi static test with 4 normally designed CFST SBCJS in order to study their dynamic properties and Shear bearing capacity [13].
Therefore, the fowling problem is necessary to be further studied: (1) More work should be done on analyzing how the different factors affect the mechanical performance of CFST SBCJS under low reversed cyclic loading through finite element simulation, and affection of the coupling action of different main factors should also be studied
And further study is also should be done on the mechanical properties of these joints to establish convenient design method.

This paper is about to make it clear that to what degree stratification affects the integrity of pressurizer surge line.
The geometry of surge line analyzed in this paper is shown as Fig.1, and the pipe material properties are given in Table.1.
Fig.1 Geometry of pressurizer surge line Tab.1 Material properties of surge line Property Value Material Type ASME SA-312 Type 316 Young Modulus 193 [GPa] Poisson Ratio 0.3 Density 8 000 [kg/m3] Specific heat 500 [J/(kg·K)] Conductivity 16.3 [W/(m·K)] Thermal expansion 1.7×10-5 [K-1] Finite element model.
The American Society of Mechanical Engineers.
American Society of Mechanical Engineers.

Molecular dynamics (MD) simulations were used to investigate the elastic properties of carbon nanotubes (CNTs).
Their atomic makeup, growth, mechanical and electronic properties are being investigated.
However, conducting experiments in nano-scale is difficult, and the results would be affected by many factors.
Conclusion The present MD simulations show that CNTs have remarkable elastic properties.
However, those factors become insensitive when we do similar simulation on DWCNTs and TWCNTs.