Isotoxal star-shaped polygonal voids and rigid inclusions in nonuniform antiplane shear fields. Part I: Formulation and full-field solution

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:85-86

Article

Dal Corso, F.¹  Shahzad, S.¹  Bigoni, D.¹ 

[1] Univ Trento, DICAM, Via Mesiano 77, I-38123 Trento, Italy

关键词: v-notch;    Star-shaped crack;    Stress singularity;    Stress annihilation;    Invisibility;    Conformal mappings;    Complex variable method;   

DOI  :  10.1016/j.ijsolstr.2016.01.027

来源: Elsevier

【 摘 要 】

An infinite class of nonuniform antiplane shear fields is considered for a linear elastic isotropic space and (non-intersecting) isotoxal star-shaped polygonal voids and rigid inclusions perturbing these fields are solved. Through the use of the complex potential technique together with the generalized binomial and the multinomial theorems, full-field closed-form solutions are obtained in the conformal plane. The particular (and important) cases of star-shaped cracks and rigid-line inclusions (stiffeners) are also derived. Except for special cases (addressed in Part II), the obtained solutions show singularities at the inclusion corners and at the crack and stiffener ends, where the stress blows-up to infinity, and is therefore detrimental to strength. It is for this reason that the closed-form determination of the stress field near a sharp inclusion or void is crucial for the design of ultra-resistant composites. (c) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

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