Mode II Fracture of an Elastic-Plastic Sandwich Layer
| Autor: | Isidoro Iván Cuesta, Emilio Martínez-Pañeda, Norman A. Fleck |
|---|---|
| Přispěvatelé: | Martínez-Pañeda, Emilio [0000-0002-1562-097X], Fleck, Norman [0000-0003-0224-1804], Apollo - University of Cambridge Repository |
| Rok vydání: | 2019 |
| Předmět: |
Materials science
constitutive modeling of materials FOS: Physical sciences Modulus finite element analysis 02 engineering and technology Plasticity 0901 Aerospace Engineering 0905 Civil Engineering flow and fracture micromechanics 0203 mechanical engineering FOS: Mathematics Shear strength Shear stress mechanical properties of materials Mechanical Engineering & Transports Mathematics - Numerical Analysis 14. Life underwater interface toughness Composite material adhesive joints Condensed Matter - Materials Science Mechanical Engineering Linear elasticity Materials Science (cond-mat.mtrl-sci) Micromechanics Numerical Analysis (math.NA) Physics::Classical Physics 021001 nanoscience & nanotechnology Condensed Matter Physics Finite element method mode II fracture Stress field 020303 mechanical engineering & transports Mechanics of Materials 0210 nano-technology strip-yield model 0913 Mechanical Engineering |
| Zdroj: | Journal of Applied Mechanics. 87 |
| ISSN: | 1528-9036 0021-8936 |
| DOI: | 10.1115/1.4044898 |
| Popis: | The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized either by the J2 plasticity theory or by a strip-yield model. The substrates are elastic and of dissimilar modulus to that of the layer. Two geometries are analyzed: (i) a semi-infinite crack in a sandwich layer, subjected to a remote mode II K-field and (ii) a center-cracked sandwich plate of finite width under remote shear stress. For the semi-infinite crack, the near-tip stress field is determined as a function of elastic mismatch, and crack tip plasticity is either prevented (the elastic case) or duly accounted for (the elastic-plastic case). Analytical and numerical solutions are then obtained for the center-cracked sandwich plate of the finite width. First, a mode II K-calibration is obtained for a finite crack in the elastic sandwich layer. Second, the analysis is extended to account for crack tip plasticity via a mode II strip-yield model of finite strength and finite toughness. The analytical predictions are verified by finite element simulations, and a failure map is constructed in terms of specimen geometry and crack length. |
| Databáze: | OpenAIRE |
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