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The International Summer School - Conference "Advanced Problems in Mechanics - 2014" is the forty second in a series of annual summer schools held by Russian Academy of Sciences. The Conference is organized by the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS) and Saint Petersburg StatePolytechnical University under the patronage of the Russian Academy of Sciences (RAS), the Russian Foundation for Basic Research (RFBR) and Saint Petersburg City Administration. The main purpose of the meeting is to gather specialists from different branches of mechanics to provide a platform for cross-fertilization of ideas. Presentations devoted to fundamental aspects of mechanics or spreading the field of applications of mechanics are invited. We are particularly keen to receive contributions that show new effects and phenomena or develop new mathematical models. The topics of the conference cover all fields of mechanics including, but not restricted: - mechanics of media with microstructure - nanomechanics - molecular and particle dynamics - phase transitions - computational mechanics - wave motion - nonlinear dynamics, chaos and vibration - dynamics of rigid bodies and multibody dynamics - solids and structures - fluid and gas - mechanical and civil engineering applications - aerospace mechanics