In the elasticity theory of nematic liquid crystals ( nlc ) , physics principles are described by variation problem initially . so in this paper we use finite elements method to solve this variation problem directly 在液晶的彈性理論中物理規(guī)律的數(shù)學(xué)描述最初是變分問題,因此本文通過有限元方法直接對這一變分問題進(jìn)行數(shù)值求解。
The methods that will be discussed are based on concepts derived from various fields , namely electron optics , the interaction of electrons with crystals , elasticity theory , crystal defect theory and crystallography 我們要討論的途徑是以源自多種領(lǐng)域的觀念為基礎(chǔ),也就是電子眼,電子和晶體之間的干擾,彈性理論,晶體缺陷理論和結(jié)晶學(xué)。
The method based on the solution of elasticity theory with different modulus in tension and compression not only solves the problem of settlement calculation of pile foundation , but also can play an important role in other engineering field 基于拉壓模量不同彈性理論解的方法能夠合理解決樁基沉降計算問題,而且對巖土工程其它問題和其他領(lǐng)域工程問題也有廣闊的應(yīng)用前景。
The applications in analysis of pile foundation show that the method based on the solution of elasticity theory with different modulus in tension and compression gives reasonable results and the method can explain the questions of some methods in existence logically 應(yīng)用表明,基于拉壓模量不同彈性理論解的樁基分析方法給出了合乎實際的規(guī)律性分析,同時對已有計算方法出現(xiàn)的問題作出了合理的解釋。
Many scholars have done extensive research on spacial frame optimization design . but these studies are almost based on the theory of limited flexibility in small deformation linear elasticity theory , without considering the structure of the nonlinear element 對于空間剛架結(jié)構(gòu)形狀優(yōu)化問題,許多學(xué)者都進(jìn)行了廣泛的研究,但研究內(nèi)容幾乎都是基于小變形線彈性理論的有限元法,而未考慮結(jié)構(gòu)的非線性因素。
In this paper we discuss the three - dimensional quasi - static problems by using the magneto thermo elasticity theory , which is related to geotherm : the situations of the heat - carrying fluid intruding into the vertical or horizontal cracks , and the case of static local high temperature regions 摘要以磁熱彈性理論為工具,討論與地?zé)嵊嘘P(guān)的三維準(zhǔn)靜態(tài)問題:載熱流體侵入豎直或水平裂隙的情況和存在靜態(tài)局部高溫區(qū)的情況。
Mechanism of the milling distortion caused by initial residual stress of workpiece is analyzed . formulae of stress re - distribution and distortion by stress releasing during milling process are deduced by elasticity theory . the calculation software is developed for the formulae 3 、工件初始?xì)堄鄳?yīng)力引起銑削變形的機(jī)理分析應(yīng)用彈性力學(xué)理論推導(dǎo)出了二維連續(xù)銑削過程中工件內(nèi)應(yīng)力再分布及其引起變形的計算遞推公式,并編制了計算軟件。
Based on the analysis of reflective cracking occurrence and development , horizontal displacement on the joint of base is calculated . with elasticity theory , avulsion to asphalt surface by that horizontal displacement is analyzed and with rupture mechanics theory , the developing rate of reflective cracking is analyzed . so , the reasonable thickness of asphalt surface can be found 在反射裂縫產(chǎn)生和發(fā)展機(jī)理分析的基礎(chǔ)上,計算在基層接縫處產(chǎn)生的水平位移,利用彈性理論分析基層接縫處水平位移對瀝青面層底部的撕裂作用,利用斷裂力學(xué)理論分析裂紋在面層的擴(kuò)展速率,由此確定基于抗反射裂縫的瀝青面層合理厚度,并探討相關(guān)的反射裂縫處治措施。
This paper presents a platform that measures the tangent stress of the elastic media using critically refrected longitudinal wave ( lcr for short ) based on acoustic - elasticity theory . the primary experiments are complete in general purpose stress equipment controlled by pc 本文以聲彈性理論為基礎(chǔ),設(shè)計并制作了一套基于tdc ( timetodigitalconverter )利用lcr波( criticallyrefractedlongitudinalwave )測量彈性介質(zhì)中的切向應(yīng)力的實驗平臺,并在微機(jī)控制的萬能試驗機(jī)上進(jìn)行了初步的實驗。
This paper focuses on the problem of semi - infinite elastic body filled with the material which behaves differently in tension and compression . the contents include : ( 1 ) the solution of elasticity theory for the material incapable in tension is established by introducing heaviside function ; ( 2 ) the solution of elasticity theory with different modulus in tension and compression is established based on the solution of elasticity theory for the material incapable in tension and mindlin ' s solution ; ( 3 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the stress of pile foundation ; ( 4 ) the solution of elasticity theory with different modulus in tension and compression is employed to analyze the settlement of pile foundation 本文考慮材料的拉壓性能不同的特點,對半無限空間內(nèi)部作用豎向集中力問題進(jìn)行了新的研究,做了如下工作: ( 1 )引入heaviside函數(shù),建立了不能承受拉應(yīng)力材料的彈性理論解; ( 2 )基于不能承受拉應(yīng)力材料的彈性理論解和mindlin解,建立了拉壓模量不同材料的彈性理論解; ( 3 )將拉壓模量不同材料的彈性理論解應(yīng)用于樁基應(yīng)力分析; ( 4 )將拉壓模量不同材料的彈性理論解應(yīng)用于樁基沉降分析。