PSI - Issue 42

Jan Sladek et al. / Procedia Structural Integrity 42 (2022) 1584–1590 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

1590

7

Askes, H., Gitman, I., 2009. Non-singular stresses in gradient elasticity at bi-material interface with transverse crack. International Journal of Fracture 156, 217-222. Buhlmann, S., Dwir, B., Baborowski, P., Muralt, P., 2002. Size effects in mesiscopic epitaxial ferroelectric structures: increase of piezoelectric response with decreasing feature-size. Applied Physics Letters 80, 3195-3197. Catalan, G., Lubk A., Vlooswijk, A.H.G., Snoeck, E., Magen, C., Janssens, A., Rispens, G., Rijnders, G, Blank, D.H.A., Noheda, B., 2011. Flexoelectric rotation of polarization in ferroelectric thin films. Nature Materials 10, 963-967. Deng, F., Deng, Q., Yu, W., Shen, S., 2017. Mixed finite elements for flexoelectric solids. Journal of Applied Mechanics 84, 0810041-12. Gitman, I., Askes, H., Huhl, E., Aifantis, E.C., 2010. Stress concentration in fractured compact bone simulated with a special class of anisotropic gradient elasticity. International Journal of Solids and Structures 47, 1099-1107. Gourgiotis, P.A., Georgiadis, H.G., 2009. Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity. Journal of Mechanics and Physics of Solids 57, 1898-1920. Hu, S.L., Shen, S.P., 2009. Electric field gradient theory with surface effect for nano-dielectrics. CMC: Computers, Materials & Continua 13, 63 87. Huang, Y., Chen, J.Y., Guo, T.F., Zhang, L., Hwang, K.C., 1999. Analytic and numerical studies on mode I and mode II fracture in elastic-plastic materials with strain gradient effects. International Journal of Fracture 100, 1-27. Itou, S., 1991. Strain energy release rate for an interface crack in linearized couple-stress theory. Engineering Fracture Mechanics 40, 421-432. Kotoul, M., Profant, T., 2018. Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity. Engineering Fracture Mechanics 201, 80-106. Piccoroaz, A., Mishuris, G., Radi, E., 2012. Mode III interfacial crack in presence of couple-stress elastic materials. Engineering Fracture Mechanics 80, 60-71. Sladek, J., Sladek, V., Wunsche, M., Tan, C.L., 2017. Crack analysis of size-dependent piezoelectric solids under a thermal load. Engineering Fracture Mechanics 182, 187-200. Sladek, J., Sladek, V., Repka, M., Schmauder, S., 2019. Gradient theory for crack problems in quasicrystals. European Journal of Mechanics/ A Solids 77, 103813. Tian, X., Sladek, J., Sladek, V., Deng, Q., Li, Q., 2021. A collocation mixed finite element method for the analysis of flexoelectric solids. International Journal of Solids Structures 217, 27-39. Tian, X., Xu, M., Zhou, Q., Li, Q., Sladek, J., Sladek, V., 2022. Analytical studies on mode III fracture in flexoelectric solids. Journal of Applied Mechanics 89, 041006. Yudin, P., Tagantsev, A., 2013. Fundamentals of flexoelectricity in solids. Nanotechnology 24, 432001. Wang, H., Jiang, X., Wang, Y., Stark, R.W., van Aken, P.A., Mannhart, J., Boschker, H., 2020. Direct observation of huge flexoelectric polarization around crack tips. Nano Letters 20, 88-94.