isotropic stress 中文意思是什麼
isotropic stress
解釋
各向同性應力-
An apparent or pseudo change in the sign occurs when a stress trajectory passes through an isotropic point.
當一個主應力跡線通過一個各向同性點時，該符號會發生一個表面上的或虛假的改變。 -
The main results and academic contributions of the dissertation can be summarized as following : 1 ) for the difficulty to obtain the accurate analytical solution of the stress constraints around 3d cracks, detailed 3d fe analyses have been conducted to study the out - of - plane constraint factor tz around a straight through - thickness crack, a quarter - elliptical corner crack and a semi - elliptical crack embedded in an isotropic elastic plate subjected to uniform remote tension loading. the distributions of tz are minutely studied in the forward section of the cracks. strong 3d zones ( tz > 0 ) along the crack front were investigated despite the far field stress - free boundary conditions
全文主要研究內容和學術貢獻如下: 1 .針對一般三維裂紋端部場應力約束準確解析的困難，對均勻拉伸載荷作用下各向同性彈性板中穿透厚度中心直裂紋、半橢圓表面裂紋和1 / 4橢圓角裂紋進行了大量詳細的全場應力三維有限元分析，首次全面分析了非穿透裂紋端部場三維影響區范圍，給出了不同形狀三維裂紋前沿離面應力約束因子tz的數值解，並結合k場平面解給出了非穿透裂紋端部應力場k - tz雙參數描述。 -
Macroscale inversion analysis of measured displacements in tunnel, slope and dam is studied detailedly according to inverse formulation method and direct formulation method. aimed at inverse problem for identifying original geostress parameters and stru - ture modulus of rock, linear hypothesis for shear stress field of slope is proposed. structural model of transversely isotropic medium is constructed
針對逆源（初始地應力）和逆介質（巖層結構模量）的識別問題，提出了地層剪應力場的線性假定，構造了橫觀各向同性體的結構性計算模型，應用了逆定式化有限元反演方法，快速地搜索到了被識別參數的最優值。 -
Several models of bonded dissimilar materials with interface edges are calculated. displacement, electrical potential, singular stress fields and singular electrical displacement fields near a singular point are deduced by the eigenfuntion expansion method based on the general solution of the spatial axisymmetric problem of the transversely isotropic piezoelectric media. a generally axisymmetric interface edge of bimaterials with arbitrary interface angle and joining angle is analyzed theoretically by using this method
在此基礎上，對具有任意界面角和結合角的橫觀各向同性雙壓電材料空間軸對稱界面端一般模型的軸對稱變形問題進行了理論分析，給出了該模型界面端的奇異性特徵方程以及界面端附近的位移場、電勢、奇異應力場和奇異電位移場。 -
2. eigenequation about singularity, singular stress fields and electrical displacement fields near the axisymmetric interface edge of two bonded dissimilar transversely isotropic materials are obtained under axisymmetric distortion. 3
然後，考慮電學物理量的影響，將上述特殊有限元法應用於壓電/壓電以及壓電/彈性接合材料界面端奇異性的求解。 -
The analytic solutions of isotropic elastic layered soil under axisymmetrical, rectangular and strip loads were derived from the basic equations of isotropic elastic mechanics by means of transfer - matrix method. by the result, can easily calculate the additional stress and settlement in layered soil. but these solutions could not properly assess the errors from the elastomer of the bottom layer in foundation soil
從各向同性彈性力學基本方程出發，利用傳遞矩陣法推導出的多層彈性地基問題在軸對稱荷載、矩形荷載和條形荷載作用下附加應力與沉降的解析解，可以方便地求出層狀地基中的附加應力和沉降，而他們均沒有考慮最下層彈性體計算深度引起的誤差影響。 -
Stress and displacement fields around a pressure tunnel in transversely isotropic soil
橫觀各向同性土體中壓力隧洞的應力和位移計算 -
Using the displacement functions and the technique of double fourier transform, the governing differential equations for transversely isotropic saturated poroelastic media are easily solved and, the fourier transformed stress and displacement solutions coorespondingly are obtained. then, under the boundary conditions, the analytical solutions for half - space are presented
藉助位移函數及雙重fourier變換，研究了直角坐標系下橫觀各向同性飽和土的動力響應問題，得到了飽和半空間體在任意分佈的表面諧振荷載作用下穩態響應的一般解。 -
Some problems from the principal stress axis rotation experiment with hollow cylinder apparatus are analyzed in detail herein ; which consists of three aspects, such as the preparation of the hollow cylinder sample and the acquisition of the isotropic one ; the estimation and elimination of the size effect and the end effect in the experiment ; and the membrane penetration effect on both the drained and the undrained tests results, etc
摘要詳細分析了採用空心圓柱儀進行主應力軸旋轉試驗遇到的若干問題，主要包括三個方面：空心圓柱試樣制備及各向同性試樣的獲得；試驗中尺寸效應、端部效應的考慮與消除；空心試樣膜嵌入效應對排水、不排水試驗結果的影響等。 -
The general stress and displacement solutions of non - axisymmetric problems are obtained by hankel transform, then the theoretical solutions of stress and displacement in transversely isotropic elastic half - space under arbitrary loading are put forward by introducing boundary conditions. the homogeneous elastic half - space solutions evolved from the theoretical solutions in the paper are in accord with classical ones. solutions under horizontal and vertical loading can be obtained respectively by specializing arbitrary loading ; by analogy, solutions under other loading can be also obtained
進而引入邊界條件得到一般荷載作用下橫觀各向同性彈性半空間的應力、位移分量理論解，此解經過退化后得到均質彈性半空間理論解與經典解吻合，對一般荷載的特殊化可以分別得到水平荷載下和豎直荷載下的理論解，如此類推，可以得到其它類型荷載的解答。 -
A stress - strain relation of an isotropic material to be in elastic anisotropic damage
各向同性材料受各向異性彈性損傷時的應力應變關系 -
Abstract : the anti - plane problem in transversely isotropic magnetoelectroelastic materials containing an elliptic inclusion is considered by using the complex variable approaches. the analytical expressions for the field variables in both the matrix and the inclusion are obtained when the stresses and the electromagnetic fields at infinity are uniform. the results show that the stress, the electric displacement and the magnetic induction inside the inclusion are constants
文摘:用復變量方法研究了橫觀各向同性電磁彈性固體的反平面夾雜問題，得到了遠場均勻應力和電磁場作用下夾雜內外彈性場和電磁場的解析表達式，結果表明夾雜內的應力、電位移和磁感應強度為常量。 -
By selecting polynomial displacement function, buckling analyses for isotropic, orthotropic and angle plying laminated plates with built - in symmetric delamination are made. finally, transfer function method is adopted to three - dimensional stress analysis of laminated piezoelectric cylindrical shell. the sensing and actuating effects of three - layered piezoelectric cylindrical shell are presented
採用傳遞函數方法對正交各向異性有限長簡支壓電層合圓柱厚殼進行了三維應力分析，並對三層壓電圓柱殼的傳感效應和作動效應進行了分析。 -
According to the stress and displacement variational principle, the mixed variational equations are established from which the state equation is established. thus, the theory of state space is combined with variational principle and the variational solutions are presented under arbitrary loads for transverse isotropic orthortropic bodies on general boundary conditions. thick plates on winkler ' s foundations are researched thoroughly
本文根據應力變分原理和位移變分原理，導出混合變分方程，並將其轉換成狀態方程，使狀態空間理論和變分原理相結合，給出了一般邊界條件下橫觀各向同性和正交各向異性體在任意荷載作用下的變分解。 -
In the paper, consolidation effects on stress and displacement distributions are n ' t taken into consideration due to supposing that foundation soil consolidation has completed after surcharging preloading. based on the inherent anisotropy and induced anisotropy of foundation soil body, transversely isotropic elastic constitutive relations are adopted to simulate half - space clastic foundation body. the relations between displacement and displacement function are proposed by extending t, ove displacement function to transversely isotropic elastic half - space
本文假設地基土體是經過超載預壓處理過的，固結已經完成，不考慮固結對應力、位移場分佈的影響；基於地基土存在著固有各向異性和誘發各向異性，在前人的基礎上對e地基模型進行修正，採用橫觀各向同性彈性模型模擬無限彈性半空間，將love位移函數推廣到半空間，得到位移與位移函數之間的關系，然後經過hankel變換得到非軸對稱問題位移、應力的一般解。 -
( 1 ) assuming that the gfrp rods is transversely isotropic material. derive the micro - mechanical model of splitting failure in concrete reinforced with gfrp rods. analysis the stress and its distribution of the cracked concrete around the gfrp rods, finding the relations of the number of cracks and the crack radius and the stress around the interface of concrete and gfrp rods
（ 1 ）將玻璃鋼筋視為橫觀各向同性材料，推導了gfrp筋增強混凝土劈裂失效的細觀力學模型，分析了玻璃鋼筋周圍混凝土開裂時的應力及其分佈情況，得到了裂紋數量、開裂半徑與玻璃鋼筋/混凝土界面周圍應力的定量關系。 -
Then we apply the method of incompatible fem and hybrid stress fem into axisymmetric problems of transversely isotropic material. with the penalty equilibrium optimization method, we find a new hybrid stress element special for axisymmetric problems of transversely isotropic material. after several numerical examples, the conclusion is made that the hybrid stress finite element with penalty equilibrium has the best capability among all these elements
本文結合電彈耦合問題的應力雜交元優化條件，第一次提出了電彈耦合問題的軸對稱雜交應力元方法，建立了軸對稱電彈耦合雜交應力單元列式，得到了一個全新的四節點軸對稱電彈耦合雜交應力單元，通過算例可見其實用性和合理性。
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