Found 165 Documents (Results 1–100)
Homogenized descriptions for the elastoplastic response of polycrystalline solids with complex hardening laws: application to neutron-irradiated bainitic steels. (English) Zbl 07849964
Theoretical model of the temperature-dependent ultimate tensile strength from the viewpoint of dislocation kinetics approach for FCC metals. (English) Zbl 1539.74037
Dynamic mode III stress intensity factors of multiple axisymmetric interfacial cracks in an FGM coated orthotropic layer. (English) Zbl 07884577
Effects of grain size, texture and grain growth capacity gradients on the deformation mechanisms and mechanical properties of gradient nanostructured nickel. (English) Zbl 1526.74012
Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model. (English) Zbl 1519.74009
Reviewer: Savin Treanţă (Bucureşti)
Crack tip enhanced phase-field model for crack evolution in crystalline Ti6Al from concurrent crystal plasticity FE-molecular dynamics simulations. (English) Zbl 1520.74075
Interface crack behaviors disturbed by Love waves in a 1D hexagonal quasicrystal coating-substrate structure. (English) Zbl 1517.74054
Crystal crack dislocation model and micro-crack nucleation criterion in the hydrogen environment. (English) Zbl 1514.74077
Strain rate effect on dislocation structure in dispersion-hardened alloy with incoherent nanoparticles. (English. Russian original) Zbl 1538.82046
Russ. Phys. J. 65, No. 8, 1358-1365 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 8, 115-123 (2022).
Mathematical modeling of fragmentation under plastic deformation in alloys with the \(L1_2\) structure. (English. Russian original) Zbl 1523.74013
Russ. Phys. J. 65, No. 8, 1348-1357 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 8, 106-114 (2022).
\(L^p\)-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions. (English) Zbl 1504.35015
Influence of nanosized incoherent particles on dislocation annihilation in heterophase aluminum-matrix crystalline alloys. (English. Russian original) Zbl 1518.74020
Russ. Phys. J. 64, No. 10, 1893-1898 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 98-103 (2021).
Modeling size effects in microwire torsion: a comparison between a Lagrange multiplier-based and a \(CurlF^p\) gradient crystal plasticity model. (English) Zbl 1495.74009
A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles. (English) Zbl 1487.35187
Modeling of the microstructural behavior of hydrided zirconium alloys. (English) Zbl 1479.74020
Comput. Mech. 68, No. 3, 567-578 (2021); correction ibid. 68, No. 3, 579 (2021).
Nečas-Lions lemma revisited: an \(L^{p}\)-version of the generalized Korn inequality for incompatible tensor fields. (English) Zbl 1473.35015
Discrete kernel functions for fcc crystals within Eringen’s nonlocal theory of elasticity. (English) Zbl 1467.74021
The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers. (English) Zbl 1456.49040
The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation. (English) Zbl 1456.74116
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor. (English) Zbl 1446.74093
A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector. (English) Zbl 1540.74107
Anti-plane stress analysis of a half-plane with multiple cracks by distributed dislocation technique in nonlocal elasticity. (English) Zbl 1446.74201
Theory of large deformations of metals. (English. Russian original) Zbl 1443.74156
J. Appl. Mech. Tech. Phys. 60, No. 5, 916-919 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 5, 156-160 (2019).
Eigenstresses in a nonlinearly elastic sphere with distributed dislocations. (English) Zbl 1425.74078
Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 137-155 (2019).
MSC:
74B20
Transient analysis for torsional impact of multiple axisymmetric cracks in the functionally graded orthotropic medium. (English) Zbl 1408.74047
MSC:
74R10
Electro-elastic analysis of a piezoelectric circular region containing multiple cracks. (English) Zbl 07775398
Torsion analysis of Finite solid circular cylinders with multiple concentric planar cracks. (English) Zbl 07775184
Incompatible deformation field and Riemann curvature tensor. (English) Zbl 1365.74009
AMM, Appl. Math. Mech., Engl. Ed. 38, No. 3, 311-332 (2017); erratum ibid. 39, No. 8, 1217-1218 (2018).
Dislocation-density function dynamics – an all-dislocation, full-dynamics approach for modeling intensive dislocation structures. (English) Zbl 1482.74042
Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip. (English) Zbl 1478.74019
In-plane stress analysis of dissimilar materials with multiple interface cracks. (English) Zbl 1471.74005
MSC:
74A10
Saint-Venant torsion of orthotropic bars with a circular cross-section containing multiple cracks. (English) Zbl 1370.74089
Applications of anisotropic slipline theory with non-uniform lattice rotation. (English) Zbl 1430.74119
Mathematical theory of elasticity of quasicrystals and its applications. 2nd edition. (English) Zbl 1359.74001
Springer Series in Materials Science 246. Singapore: Springer; Beijing: Science Press (ISBN 978-981-10-1982-1/hbk; 978-981-10-1984-5/ebook). xvi, 452 p. (2016).
Reviewer: M. Cengiz Dökmeci (İstanbul)
A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application to micro-pillars. (English) Zbl 1481.74118
On the differentiability of solutions of the liminal dissipative equation. (Russian. English summary) Zbl 1374.35399
Reviewer: Boris V. Loginov (Ul’yanovsk)
Mechanical properties of irradiated multi-phase polycrystalline BCC materials. (English) Zbl 1346.74033
MSC:
74E15
Analytical solution of multiple moving cracks in functionally graded piezoelectric strip. (English) Zbl 1322.74005
Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries. (English) Zbl 1328.74011
MSC:
74A45
The liminal dissipative equation of the creeping dislocations density for a one-component bending of flat plate. (Russian. English summary) Zbl 1340.74019
Reviewer: Boris V. Loginov (Ul’yanovsk)
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\). (English) Zbl 1323.74018
On the microscopic definitions of the dislocation density tensor. (English) Zbl 1299.74022
MSC:
74A60
Group elastic symmetries common to continuum and discrete defective crystals. (English) Zbl 1408.74007
Autoparallel curves and Riemannian geodesics for materially uniform but inhomogeneous bodies. (English) Zbl 1354.74041
Non-local elasto-viscoplastic models with dislocations in finite elasto-plasticity. Part II: Influence of dislocations in crystal plasticity. (English) Zbl 07280050
MSC:
74-XX
Nonlocal solvability of the Cauchy problem for the dissipative equation of the dislocation density with a quadratic nonlinearity. (Russian. English summary) Zbl 1299.35082
Reviewer: Boris V. Loginov (Ul’yanovsk)
Analysis and comparison of two finite element algorithms for dislocation density based crystal plasticity. (English) Zbl 1276.74010
MSC:
74C10
Non-local elasto-viscoplastic models with dislocations and non-Schmid effect. (English) Zbl 1422.74019
MSC:
74C20
Nonstationary dissipative first-order partial differential equation of the dislocation density with a quadratic nonlinearity. (Russian. English summary) Zbl 1299.35081
Reconciliation of local and global symmetries for a class of crystals with defects. (English) Zbl 1336.74015
A note on residual stress, lattice orientation and dislocation density in crystalline solids. (English) Zbl 1253.74016
Analysis of multiple axisymmetric annular cracks in a piezoelectric medium. (English) Zbl 1278.74149
Simulation of polycrystal deformation with grain and grain boundary effects. (English) Zbl 1426.74133
An extended crystal plasticity model for latent hardening in polycrystals. (English) Zbl 1237.74014
Reviewer: N. D. Cristescu (Gainesville)
On an equation from the theory of field dislocation mechanics. (English) Zbl 1233.35186
Reviewer: Li Xing (Yinchuan)
The first-order nonlinear partial differential equation of the dislocation density. (Russian. English summary) Zbl 1230.74094
Size effects in generalised continuum crystal plasticity for two-phase laminates. (English) Zbl 1225.74024
Mathematical theory of elasticity of quasicrystals and its applications. (English) Zbl 1222.74003
Berlin: Springer; Beijing: Science Press (ISBN 978-3-642-14642-8; 978-7-03-025669-0/hbk). xii, 363 p. (2010).
Reviewer: M. Cengiz Dökmeci (İstanbul)
A simple model for dynamic recrystallization during severe plastic deformation. (English) Zbl 1264.74029
Grain-boundary interactions and orientation effects on crack behavior in polycrystalline aggregates. (English) Zbl 1176.74168
A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. (English) Zbl 1235.74013
Numerical approximation of incremental infinitesimal gradient plasticity. (English) Zbl 1155.74316
MSC:
74C99
Implementation and validation of a polycrystalline model for a bi-phased steel under non-proportional loading paths. (English) Zbl 1258.74036
Uniqueness of strong solutions in infinitesimal perfect gradient-plasticity with plastic spin. (English) Zbl 1209.74020
Daya Reddy, B. (ed.), IUTAM symposium on theoretical, computational and modelling aspects of inelastic media. Proceedings of the IUTAM symposium held at Cape Town, South Africa, January 14–18, 2008. Dordrecht: Springer (ISBN 978-1-4020-9089-9/hbk; 978-1-4020-9090-5/ebook). IUTAM Bookseries 11, 129-140 (2008).
Internal state variable models for microstructure in high temperature deformation of titanium alloys. (English) Zbl 1359.74343
MSC:
74N15
The Eshelby stress tensor, angular momentum tensor and dilatation flux in gradient elasticity. (English) Zbl 1121.74008
Dynamic fracture behaviors of cracks in a functionally graded magneto-electro-elastic plate. (English) Zbl 1107.74022
Electromechanical impact of an impermeable parallel crack in a functionally graded piezoelectric strip. (English) Zbl 1105.74038
A semianalytical thermal stress model for the Czochralski growth of type III-V compounds. (English) Zbl 1142.74013
Studying the effect of grain boundaries in dislocation density based crystal-plasticity finite element simulations. (English) Zbl 1204.74038
Multiscale dislocation dynamics analyses of laser shock peening in silicon single crystals. (English) Zbl 1276.74009
Thermodynamically consistent relations involving plasticity, internal energy and thermal effects. (English) Zbl 1152.74311
Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method. (English) Zbl 1108.74319
Multiscale Model. Simul. 4, No. 2, 359-389 (2005); erratum ibid. 7, No. 2, 1003 (2008).
Size effects in single crystal thin films: nonlocal crystal plasticity simulations. (English) Zbl 1069.74035
Plastic deformation modeling of AL-6XN stainless steel at low and high strain rates and temperatures using a combination of bcc and fcc mechanisms of metals. (English) Zbl 1148.74306
MSC:
74C99
Balance equations for polycrystalline materials with the inclusion of orientation and grain-size distributions. (English) Zbl 1088.74017
Wang, Yongqi (ed.) et al., Trends in applications of mathematics to mechanics. Proceedings of the international symposium, STAMM, Seeheim, Germany, August 22–28, 2004. Aachen: Shaker Verlag (ISBN 3-8322-3600-7/pbk). Berichte aus der Mathematik, 381-389 (2005).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Plastic strain curl theory. (English) Zbl 1066.74017
Group properties of defective crystal structures. (English) Zbl 1072.74016
Reviewer: Messoud A. Efendiev (Berlin)
The role of nucleation and growth of microcracks in brittle solids under compression: a numerical study. (English) Zbl 1085.74041
Modeling the evolution of crystallographic dislocation density in crystal plasticity. (English) Zbl 1023.74011
An elastoplastic theory of dislocations as a physical field theory with torsion. (English) Zbl 1035.74014
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