Elastic strain energy due to deviatoric eigenstrains in an inclusion having symmetric shape

S. Onaka

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Elastic strain energy due to deviatoric eigenstrains in an inclusion having symmetric shape

机译：具有对称形状的夹杂物中由于偏向本征应变而产生的弹性应变能

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An inclusion having purely dilatational eigenstrains in an infinitely extended isotropic material causes an elastic strain energy that is independent of its shape. The present study analyses the elastic strain energy caused by an inclusion with purely deviatoric eigenstrains using simple calculations. It is found that the elastic strain energy due to certain types of purely deviatoric eigenstrains is also independent of the inclusion shape provided that the shape satisfies a certain symmetry. This holds even for geometrically complicated inclusion shapes.

机译：在无限延伸的各向同性材料中具有纯膨胀本征应变的夹杂物会产生与其形状无关的弹性应变能。本研究使用简单的计算方法分析了包含纯偏向本征应变的夹杂物引起的弹性应变能。发现只要某些形状满足一定的对称性，由于某些类型的纯偏向本征应变引起的弹性应变能也与夹杂物形状无关。即使对于几何形状复杂的夹杂物形状也是如此。

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《Philosophical Magazine Letters》 |2005年第3期|共9页
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S. Onaka;
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正文语种 eng
中图分类物理学;
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1. Elastic strain energy due to deviatoric eigenstrains in an inclusion having symmetric shape [J] . S. Onaka Philosophical Magazine Letters . 2005,第3期

机译：具有对称形状的夹杂物中由于偏向本征应变而产生的弹性应变能
2. Averaged Eshelby tensor and elastic strain energy of a superspherical inclusion with uniform eigenstrains [J] . Susumu Onaka Philosophical Magazine Letters . 2001,第4期

机译：具有均匀特征应变的超球形夹杂物的平均Eshelby张量和弹性应变能
3. EVALUATION OF ELASTIC STRAIN ENERGY OF SPHEROIDAL INCLUSIONS WITH UNIFORM VOLUMETRIC AND SHEAR EIGENSTRAINS [J] . H. J. Bohm, F. D. Fishcer, G. Reisner Scripta materialia . 1997,第9期

机译：体积和剪切弹性均匀的球形夹杂物弹性应变能的评估
4. STRAIN GRADIENT SOLUTION FOR THE ESHELBY-TYPE PROBLEM OF AN ANTI-PLANE STRAIN CYLINDRICAL INCLUSION IN A FINITE ELASTIC MATRIX [C] . H.M.Ma, X.L.Gao Advances in heterogeneous material mechanics . 2011

机译：有限弹性矩阵中反平面应变圆柱包涵的Eshelby型问题的应变梯度解
5. Applications of the eigenstrain method in inclusion problems and micromechanics of coherent metal carbide precipitation in steel. [D] . Liarng, Ruoh-Huei. 1996

机译：本征应变方法在钢中相干金属碳化物析出的夹杂问题和微观力学中的应用。
6. Eshelbys problem of polygonal inclusions with polynomial eigenstrains in an anisotropic magneto-electro-elastic full plane [O] . Y.-G. Lee, W.-N. Zou, E. Pan -1

机译：各向异性磁电弹性全平面中具有多项式本征应变的多边形包裹体的埃舍尔比问题
7. Elastic strain field due to an inclusion of a polyhedral shape with a non-uniform lattice misfit [O] . Nenashev, A. V., Dvurechenskii, A. V. 2017

机译：由于包含多面体形状而具有弹性应变场非均匀晶格失配
8. Effect of Volume Fraction and Shape of Sulfide Inclusions on Through-Thickness Ductility and Impact Energy of High-Strenght 4340 Plate Steels. Section I. Part I. Axisymmetric and Plane-strain Tensile Ductility. Part II. Impact Ene [R] . Speich, G. R., Spitzig, W. A., Smelser, R. E., 1981

机译：硫化物夹杂物体积分数和形状对高强度4340钢板贯穿厚度延性和冲击能的影响。第一节。轴对称和平面应变拉伸延性。第二部分。影响力

Elastic strain energy due to deviatoric eigenstrains in an inclusion having symmetric shape

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