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The International Summer School-Conference “Advanced Problems in Mechanics — 2017” is the forty fifth in a series of annual summer schools held by Russian Academy of Sciences. The Conference is organized by Institute for Problems in Mechanical Engineering of Russian Academy of Sciences (IPME RAS) and Peter the Great St.Petersburg Polytechnic University (SPbPU) under the patronage of Russian Academy of Sciences (RAS) and the University of Seville (Universidad de Sevilla). APM 2017 is partially supported by Russian Foundation for Basic Research. Minisymposium in memoriam of Antonio Castellanos Mata is partially sponsored by the Vicerrectorado de Investigación de la Universidad de Sevilla (Vice-Rectorate for Research, University of Seville, Spain). In 2017 the first conference day (June 22) will be held in Saint Petersburg Scientific Centre of Russian Academy of Sciences. The main purpose of the meeting is to gather specialists from different branches of mechanics to provide a platform for cross-fertilisation of ideas. The list of problems under investigation is not limited to questions of mechanical engineering, but includes practically all advanced problems in mechanics, which is reflected in the name of the conference. The main attention is given to problems on the boundary between mechanics and other research areas, which stimulates the investigation in such domains as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics and many others. The conference “Advanced Problems in Mechanics” helps us to maintain the existing contacts and to establish new ones between foreign and Russian scientists.