235 research outputs found

    The study of a defect evolution in iron under fatigue loading in gigacyclic fatigue regime

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    The work is devoted to the study of the damage accumulation in iron under gigacyclic fatigue (VHCF) regime. The study of the mechanical properties of the samples with different state of life time existing was carried out on the base of the acoustic resonance method. The damage accumulation (porosity of the samples) was studied by the hydrostatic weighing method. The obtained results show the accumulation of porosity in the volume of the sample during fatigue loading and corresponding decrease of the elastic properties. A statistical model of damage accumulation was proposed in order to describe the damage accumulation process. The model describes the influence of the sample surface on the location of fatigue crack initiatio

    Open complex dynamics in cell mechanobiology and the problem of cancer

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    Theoretical and Experimental Investigation of the Dissipated and Stored Energy Ratio in Iron under Quasi-Static and Cyclic Loading

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    The problem of energy storing (cold work accumulation) in metals was intensively investigated both theoretically and experimentally during all last century but a general theoretical conception of the process was not created. This work is devoted to an experimental investigation of energy dissipation in metals under plastic deformation and to the development of a thermodynamic model to study the cold work accumulation under plastic deformation and failure. The proposed model is based on a statistical description of collective properties of mesoscopic defects and on dividing the plastic deformation into two parts (dissipative and structural). The structural plastic strain was considered as an independent thermodynamic variable that allowed us to determine the thermodynamic potential of the system. The derived constitutive relations were applied for numerical simulation of tensile and cyclic tests. The numerical results demonstrate a good agreement with experimental data.Π­ΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½ΠΎ исслСдовано рассСяниС энСргии Π² ΠΌΠ΅Ρ‚Π°Π»Π»Π°Ρ… ΠΏΡ€ΠΈ пластичСском Π΄Π΅ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΠ΅ тСрмодинами­чСской ΠΌΠΎΠ΄Π΅Π»ΠΈ для изучСния накоплСния Π½Π°ΠΊΠ»Π΅ΠΏΠ° ΠΏΡ€ΠΈ пластичСском Π΄Π΅Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΠΈ. ΠŸΡ€Π΅Π΄Π»Π°Π³Π°Π΅ΠΌΠ°Ρ модСль осно­вана Π½Π° статистичСском описании ΠΊΠΎΠ»Π»Π΅ΠΊΒ­Ρ‚ΠΈΠ²Π½Ρ‹Ρ… свойств мСзоскопичСских Π΄Π΅Ρ„Π΅ΠΊΡ‚ΠΎΠ² ΠΈ Π½Π° Ρ€Π°Π·Π΄Π΅Π»Π΅Π½ΠΈΠΈ пластичСской Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π½Π° Π΄Π²Π΅ части (Π΄ΠΈΡΡΠΈΠΏΠ°Ρ‚ΠΈΠ²Π½ΡƒΡŽ ΠΈ ΠΎΠ±Ρ‰ΡƒΡŽ). ΠžΠ±Ρ‰Π°Ρ пластичСская дСформация Ρ€Π°ΡΡΠΌΠ°Ρ‚Β­Ρ€ΠΈΠ²Π°Π»Π°ΡΡŒ ΠΊΠ°ΠΊ нСзависимая тСрмодинамичСская пСрСмСнная, Ρ‡Ρ‚ΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΎΠΏΡ€Π΅Π΄Π΅Β­Π»ΠΈΡ‚ΡŒ тСрмодинамичСский ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π» систС­мы. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΡΡŽΡ‰ΠΈΠ΅ ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Β­Π½ΠΈΡ ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΠ»ΠΈ для числСнного модСлиро­вания Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΎΠ² испытаний Π½Π° растяТСниС ΠΈ цикличСских испытаний. ЧислСнныС Ρ€Π΅Β­Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Ρ…ΠΎΡ€ΠΎΡˆΠΎ ΡΠΎΠ³Π»Π°ΡΡƒΡŽΡ‚ΡΡ с ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Β­Ρ‚Π°Π»ΡŒΠ½Ρ‹ΠΌΠΈ Π΄Π°Π½Π½Ρ‹ΠΌΠΈ

    Theoretical and Experimental Investigation of the Dissipated and Stored Energy Ratio in Iron under Quasi-Static and Cyclic Loading

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    The problem of energy storing (cold work accumulation) in metals was intensively investigated both theoretically and experimentally during all last century but a general theoretical conception of the process was not created. This work is devoted to an experimental investigation of energy dissipation in metals under plastic deformation and to the development of a thermodynamic model to study the cold work accumulation under plastic deformation and failure. The proposed model is based on a statistical description of collective properties of mesoscopic defects and on dividing the plastic deformation into two parts (dissipative and structural). The structural plastic strain was considered as an independent thermodynamic variable that allowed us to determine the thermodynamic potential of the system. The derived constitutive relations were applied for numerical simulation of tensile and cyclic tests. The numerical results demonstrate a good agreement with experimental data.Π­ΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½ΠΎ исслСдовано рассСяниС энСргии Π² ΠΌΠ΅Ρ‚Π°Π»Π»Π°Ρ… ΠΏΡ€ΠΈ пластичСском Π΄Π΅ Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ Ρ€Π°Π·Ρ€Π°Π±ΠΎΡ‚ΠΊΠ΅ тСрмодинами­чСской ΠΌΠΎΠ΄Π΅Π»ΠΈ для изучСния накоплСния Π½Π°ΠΊΠ»Π΅ΠΏΠ° ΠΏΡ€ΠΈ пластичСском Π΄Π΅Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΠΈ. ΠŸΡ€Π΅Π΄Π»Π°Π³Π°Π΅ΠΌΠ°Ρ модСль осно­вана Π½Π° статистичСском описании ΠΊΠΎΠ»Π»Π΅ΠΊΒ­Ρ‚ΠΈΠ²Π½Ρ‹Ρ… свойств мСзоскопичСских Π΄Π΅Ρ„Π΅ΠΊΡ‚ΠΎΠ² ΠΈ Π½Π° Ρ€Π°Π·Π΄Π΅Π»Π΅Π½ΠΈΠΈ пластичСской Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π½Π° Π΄Π²Π΅ части (Π΄ΠΈΡΡΠΈΠΏΠ°Ρ‚ΠΈΠ²Π½ΡƒΡŽ ΠΈ ΠΎΠ±Ρ‰ΡƒΡŽ). ΠžΠ±Ρ‰Π°Ρ пластичСская дСформация Ρ€Π°ΡΡΠΌΠ°Ρ‚Β­Ρ€ΠΈΠ²Π°Π»Π°ΡΡŒ ΠΊΠ°ΠΊ нСзависимая тСрмодинамичСская пСрСмСнная, Ρ‡Ρ‚ΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΎΠΏΡ€Π΅Π΄Π΅Β­Π»ΠΈΡ‚ΡŒ тСрмодинамичСский ΠΏΠΎΡ‚Π΅Π½Ρ†ΠΈΠ°Π» систС­мы. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΡΡŽΡ‰ΠΈΠ΅ ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Β­Π½ΠΈΡ ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΠ»ΠΈ для числСнного модСлиро­вания Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΎΠ² испытаний Π½Π° растяТСниС ΠΈ цикличСских испытаний. ЧислСнныС Ρ€Π΅Β­Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Ρ…ΠΎΡ€ΠΎΡˆΠΎ ΡΠΎΠ³Π»Π°ΡΡƒΡŽΡ‚ΡΡ с ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Β­Ρ‚Π°Π»ΡŒΠ½Ρ‹ΠΌΠΈ Π΄Π°Π½Π½Ρ‹ΠΌΠΈ

    Self-Induced Quasistationary Magnetic Fields

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    The interaction of electromagnetic radiation with temporally dispersive magnetic solids of small dimensions may show very special resonant behaviors. The internal fields of such samples are characterized by magnetostatic-potential scalar wave functions. The oscillating modes have the energy orthogonality properties and unusual pseudo-electric (gauge) fields. Because of a phase factor, that makes the states single valued, a persistent magnetic current exists. This leads to appearance of an eigen-electric moment of a small disk sample. One of the intriguing features of the mode fields is dynamical symmetry breaking

    Fracture characteristics of titanium VT1-0 and Zr–1 wt. % Nb alloy in different structures under gigacycle fatigue loading regime

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    Fatigue testing of ultrafine-grained, fine-grained and coarse-grained VT1-0 and Zr–1 wt. % Nb samples was performed under conditions of gigacycle fatigue regime. It was established that ultrafine-grained titanium and zirconium alloy samples initiate increasing fatigue strength of up to 1.3 times for titanium and 1.7 times for zirconium alloy within gigacycle region (109 cycles) comparable to fine-grained and coarse-grained samples. Analysis of fracture surface morphology has revealed the similar fractured structure in coarse-grained and ultrafine-grained titanium and zirconium alloy samples. Fractures in ultrafine-grained titanium and zirconium alloy samples exhibit quasi-brittle pattern

    Collective Modes in the Microshear Ensemble as a Mechanism of the Failure Wave

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    Results of theoretical and experimental study of failure wave phenomena are presented. A description ofthefailure wavephenomenon wasproposed in terms ofa self-similar solutionfor the microshear density. The mechanisms offailure wave generation andpropagation were classified as a delayedfailure with the delay time corresponding to the time ofexcitation ofself-similar blow-up collective modes in a microshear ensemble. Experimental study of the mechanism of the failure wave generation andpropagation was carried out using afused quartz rod and included the Taylor test with high-speed framing. The results obtained confirmed the "delayed” mechanism of the failure wave generation and propagation.ΠŸΡ€Π΅Π΄ΡΡ‚Π°Π²Π»Π΅Π½Ρ‹ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ тСорСтичСских ΠΈ ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… исслСдований явлСния Π²ΠΎΠ»Π½Ρ‹ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΡ. ΠŸΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ описаниС явлСния Π²ΠΎΠ»Π½Ρ‹ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΡ Π½Π° основС Π°Π²Ρ‚ΠΎΒ­ΠΌΠΎΠ΄Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ для плотности микро­сдвигов. ΠœΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΡ‹ возникновСния ΠΈ рас­пространСния Π²ΠΎΠ»Π½Ρ‹ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΡ классифи­цировали ΠΊΠ°ΠΊ Π·Π°ΠΌΠ΅Π΄Π»Π΅Π½Π½ΠΎΠ΅ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΠ΅, ΠΏΡ€ΠΈΒ­ Ρ‡Π΅ΠΌ врСмя Π·Π°Π΄Π΅Ρ€ΠΆΠΊΠΈ соотвСтствовало Π²Ρ€Π΅ΠΌΠ΅Π½ΠΈ возбуТдСния Π°Π²Ρ‚ΠΎΠΌΠΎΠ΄Π΅Π»ΡŒΠ½Ρ‹Ρ… Π²Π·Ρ€Ρ‹Π²Π½Ρ‹Ρ… ΠΊΠΎΠ»Π»Π΅ΠΊΡ‚ΠΈΠ²Π½Ρ‹Ρ… ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΠΉ Π²ΠΎ мноТСствС микросдвигов. Π­ΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½ΠΎΠ΅ исслСдо­ваниС ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠ° возникновСния ΠΈ распро­странСния Π²ΠΎΠ»Π½Ρ‹ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΡ ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΈΠ»ΠΎΡΡŒ с использованиСм расплавлСнного ΠΊΠ²Π°Ρ€Ρ†Π΅Π²ΠΎΠ³ΠΎ стСрТня ΠΈ Π²ΠΊΠ»ΡŽΡ‡Π°Π»ΠΎ испытаниС ΠΏΠΎ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ Π’Π΅ΠΉΠ»ΠΎΡ€Π° с высокоскоростным Ρ„ΠΎΡ‚ΠΎΠ³Ρ€Π°Ρ„ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΏΠΎΠ΄Ρ‚Π²Π΅Ρ€Π΄ΠΈΒ­ Π»ΠΈ β€œΠ·Π°ΠΌΠ΅Π΄Π»Π΅Π½Π½Ρ‹ΠΉβ€ ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌ возникновСния ΠΈ распространСния Π²ΠΎΠ»Π½Ρ‹ Ρ€Π°Π·Ρ€ΡƒΡˆΠ΅Π½ΠΈΡ

    Experimental investigation of crack initiation and propagation in high- and gigacycle fatigue in titanium alloys by study of morphology of fracture

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    Fatigue (high- and gigacycle) crack initiation and its propagation in titanium alloys with coarse and fine grain structure are studied by fractography analysis of fracture surface. Fractured specimens were analyzed by interferometer microscope and electronic microscope to improve methods of monitoring of damage accumulation during fatigue test and verify the models for fatigue crack kinetics. Fatigue strength was estimated for high cycle fatigue (HCF) regime using the Luong method [1] by β€œin-situ” infrared scanning of the sample surface for the step-wise loading history for different grain size metals. Fine grain alloys demonstrated higher fatigue resistance for both HCF and gigacycle fatigue regimes. Fracture surface analysis for cylindrical samples was carried out using optical and electronic microscopy method. High resolution profilometry (interferometerprofiler New View 5010) data of fracture surface roughness allowed us to estimate scale invariance (the Hurst exponent) and to establish the existence of two characteristic areas of damage localization (different values of the Hurst exponent). Area 1 with diameter ~300 ?m has the pronounced roughness and is associated with damage localization hotspot. Area 2 shows less amplitude roughness, occupies the rest fracture surface and considered as the trace of the fatigue crack path corresponding to the Paris kinetics
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