Found 148 Documents (Results 1–100)
A simple spectral representation of a second-order symmetric tensor and its variation. (English) Zbl 1535.74033
Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites. (English) Zbl 1534.74015
Two novel alternative integration schemes for multi-invariants dependent isotropic finite deformation plasticity. (English) Zbl 1516.74101
Efficient gradient enhancements for plasticity with ductile damage in the logarithmic strain space. (English) Zbl 1517.74011
Reviewer: Sanda Cleja-Ţigoiu (Bucureşti)
On the computational treatment of fully coupled crystal plasticity slip and martensitic transformation constitutive models at finite strains. (English) Zbl 1534.74049
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. (English) Zbl 1523.45006
Strain measures and energies for crimped fibres and novel analytical expressions for fibre populations: ingredients for structural fibre network models. (English) Zbl 1503.74021
Extending interior-point methods to nonlinear second-order cone programming: application to finite-strain elastoplasticity. (English) Zbl 07863070
Closed-form solutions for the symmetric nonlinear free oscillations of pyramidal trusses. (English) Zbl 1493.74040
A note on Padé approximants of tensor logarithm with application to Hencky-type hyperelasticity. (English) Zbl 1479.74014
Coupled elasto-viscoplastic and damage model accounting for plastic anisotropy and damage evolution dependent on loading conditions. (English) Zbl 1507.74089
The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’. (English) Zbl 1481.74008
Extending uniaxial material laws to multiaxial constitutive relations: H-approach. (English) Zbl 1477.74003
MSC:
74A20
Finite deformation of a panel in ideal plasticity and superplasticity. (English. Russian original) Zbl 1451.74055
J. Appl. Mech. Tech. Phys. 60, No. 6, 1141-1148 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 6, 192-201 (2019).
MSC:
74C20
On the equivalence between the multiplicative hyper-elasto-plasticity and the additive hypo-elasto-plasticity based on the modified kinetic logarithmic stress rate. (English) Zbl 1440.74083
MSC:
74C05
Is an additive decomposition of a rate of deformation and objective stress rates passé? (English) Zbl 1439.74079
Computational anisotropic hardening multiplicative elastoplasticity based on the corrector elastic logarithmic strain rate. (English) Zbl 1439.74065
MSC:
74C05
Stress and strain mapping tensors and general work-conjugacy in large strain continuum mechanics. (English) Zbl 1459.74029
Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strain. (English) Zbl 1379.74005
The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity. (English) Zbl 1348.74053
Strain gradient plasticity modeling of the cyclic behavior of laminate microstructures. (English) Zbl 1349.74071
The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity. (English) Zbl 1325.74028
The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers. (English) Zbl 1320.74022
Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation. (English) Zbl 1343.74051
An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain. (English) Zbl 1340.74012
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 16. Proceedings of the 16th seminar (PANM), Dolní Maxov, Czech Republic, June 3–8, 2012. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-62-2). 88-93 (2013).
Reviewer: Jiří Vala (Brno)
A large strain isotropic elasticity model based on molecular dynamics simulations of a metallic glass. (English) Zbl 1295.74011
A finite strain kinematic hardening constitutive model based on Hencky strain: general framework, solution algorithm and application to shape memory alloys. (English) Zbl 1426.74065
Frame indifferent elastoplasticity of frictional materials at finite strain. (English) Zbl 1236.74034
MSC:
74C15
Geometrical setting of solid mechanics. (English) Zbl 1267.74009
Reviewer: Agostino Prástaro (Roma)
On the robustness and efficiency of integration algorithms for a 3D finite strain phenomenological SMA constitutive model. (English) Zbl 1217.74113
Kinematics and kinetics description of thermoelastic finite deformation from multiplicative decomposition of deformation gradient viewpoint. (English) Zbl 1272.74132
Radial expansion of a granular medium in spherical and cylindrical layers. (English. Russian original) Zbl 1272.74112
J. Appl. Mech. Tech. Phys. 50, No. 3, 519-524 (2009); translation from Prikl. Mekh. Tekh. Fiz. 50, No. 3, 190-196 (2009).
MSC:
74E20
A Green-Naghdi approach to finite anisotropic rate-independent and rate-dependent thermo-plasticity in logarithmic Lagrangian strain-entropy space. (English) Zbl 1230.74047
Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space. (English) Zbl 1168.74324
A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension-compression test data. (English) Zbl 1156.74008
On the dual variable of the Cauchy stress tensor in isotropic finite hyperelasticity. (English) Zbl 1154.74303
MSC:
74B20
Four applications of majorization to convexity in the calculus of variations. (English) Zbl 1160.49011
Incorporation of yield surface distortion in finite deformation constitutive modeling of rigid-plastic hardening materials based on the Hencky logarithmic strain. (English) Zbl 1387.74027
Spin tensors associated with corotational rates and corotational integrals in continua. (English) Zbl 1142.74009
MSC:
74A05
The integrability criterion in finite elastoplasticity and its constitutive implications. (English) Zbl 1107.74008
Axial effect investigation in fixed-end circular bars under torsion with a finite deformation model based on logarithmic strain. (English) Zbl 1192.74221
Modeling of finite strain viscoplasticity based on the logarithmic corotational description. (English) Zbl 1168.74323
MSC:
74C20
On a finite-strain viscoplastic law coupled with anisotropic damage: theoretical formulations and numerical applications. (English) Zbl 1097.74011
Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materials. (English) Zbl 1176.74025
MSC:
74B20
On strong ellipticity for isotropic hyperelastic materials based upon logarithmic strain. (English) Zbl 1349.74062
MSC:
74B20
Computational issues in large strain elasto-plasticity: an algorithm for mixed hardening and plastic spin. (English) Zbl 1118.74350
Application of corotational rates of the logarithmic strain in constitutive modeling of hardening materials at finite deformations. (English) Zbl 1148.74322
MSC:
74C99
A weakened form of Ilyushin’s postulate and the structure of self-consistent Eulerian finite elastoplasticity. (English) Zbl 1114.74364
MSC:
74C15
Modeling of the monotonic and cyclic Swift effects using anisotropic finite viscoplasticity theory based on overstress (AFVBO). II: Numerical experiments. (English) Zbl 1074.74015
On the application of the additive decomposition of generalized strain measures in large strain plasticity. (English) Zbl 1073.74019
MSC:
74C15
Objective rates in finite elastoplasticity. (English) Zbl 1037.74010
Miehe, Christian (ed.), IUTAM symposium on computational mechanics of solid materials at large strains. Proceedings of the IUTAM symposium, Stuttgart, Germany, August 20–24, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1170-9/hbk). Solid Mech. Appl. 108, 151-160 (2003).
A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects. (English) Zbl 1050.74005
Bending of an elastoplastic strip with isotropic and kinematic hardening. (English) Zbl 1036.74009
MSC:
74C15
A novel internal dissipation inequality by isotropy and its implication for inelastic constitutive characterization. (English) Zbl 1047.74004
Reviewer: Gheorghe Gr. Ciobanu (Iaşi)
Constitutive relations of nonlinear thermoelasticity of anisotropic bodies. (English. Russian original) Zbl 1007.74021
Prikl. Mekh. Tekh. Fiz. 44, No. 1, 170-175 (2003); translation in J. Appl. Mech. Tech. Phys. 44, No. 1, 141-145 (2003).
Reviewer: N.I.Alexandrova (Novosibirsk)
Basic issues concerning finite strain measures and isotropic stress-deformation relations. (English) Zbl 1089.74512
Numerical study of consistency of rate constitutive equations with elasticity at finite deformation. (English) Zbl 1037.74004
Nonlinear analysis of nearly saturated porous media: Theoretical and numerical formulation. (English) Zbl 1039.74013
New results for the spin of the Eulerian triad and the logarithmic spin and rate. (English) Zbl 1028.74003
Reviewer: Erdoǧan S.Şuhubi (İstanbul)
On the dual variable of the logarithmic strain tensor, the dual variable of the Cauchy stress tensor, and related issues. (English) Zbl 0999.74006
Analytical perturbation solution for large simple shear problems in elastic-perfect plasticity with the logarithmic stress rate. (English) Zbl 0996.74017
On a nonlinear viscoelastic material law at finite strain for polymers. (English) Zbl 1016.74015
Reviewer: Daniel Ševčovič (Bratislava)
On the numerical implementation of a finite strain anisotropic damage model based upon the logarithmic rate. (English) Zbl 1141.74359
Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rate: Swift effect in torsion. (English) Zbl 1007.74026
MSC:
74C15
Bounds to shakedown loads. (English) Zbl 1003.74013
Numerical studies of nonuniform deformation, stress state evolution, and subgrain formation in bicrystals in (110) channel die compression. (English) Zbl 1012.74012
A self-consistent Eulerian rate type model for finite deformation elastoplasticity with isotropic damage. (English) Zbl 1009.74010
Reviewer: N.Cristescu (Gainesville)
MSC:
74C15
A modified Multhopp-Kalandiya method in the contact problem for slider bearing. (English. Russian original) Zbl 1017.74047
J. Appl. Math. Mech. 64, No. 4, 667-674 (2000); translation from Prikl. Mat. Mekh. 64, No. 4, 691-697 (2000).
Reviewer: V. I. Goncharenko (Kyïv)
Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion. (English) Zbl 0993.74011
Reviewer: Anatoliy S.Semenov (Odessa)
MSC:
74C15
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. (English) Zbl 0964.76003
Lecture Notes in Mathematics. 1749. Berlin: Springer. vi, 269 p. (2000).
Reviewer: Igor Bock (Bratislava)
Numerical simulation of the localization behavior of hydrostatic-stress-sensitive metals. (English) Zbl 0979.74011
Comments on objective rates of 2nd order, symmetric Eulerian tensors. (English) Zbl 0979.74009
MSC:
74A99
Some comments on objective rates of symmetric Eulerian tensors with application to Eulerian strain rates. (English) Zbl 0984.74004
Reviewer: G.A.Maugin (Paris)
Accelerated void growth in porous ductile solids containing two populations of cavities. (English) Zbl 1007.74029
Reviewer: Sanda Cleja-Ţigoiu (Bucureşti)
Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids. (English) Zbl 0996.74016
Plasticity solutions for soil behaviour around contracting cavities and tunnels. (English) Zbl 0973.74052
Reviewer: Olivian Simionescu (Bucureşti)
Rotationally continuous plastic flow. (English) Zbl 0970.74010
MSC:
74C05
A re-formulation of the exponential algorithm for finite strain plasticity in terms of Cauchy stresses. (English) Zbl 0964.74009
Large strain elastic-plastic theory and nonlinear finite element analysis based on metric transformation tensors. (English) Zbl 0977.74008
Simple triangular shell elements for large strain estimations of sheet metal forming parts. (English) Zbl 0958.74057
Fortin, Michel (ed.), Plates and shells. 1996 Summer seminar of the Canadian Mathematical Society, Québec, Canada, July 22-27, 1996. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 21, 21-35 (1999).
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. (English) Zbl 0943.74076
Reviewer: I.A.Parinov (Rostov-na-Donu)
On the integration of stresses in large deformation plasticity. (English) Zbl 0945.74015
MSC:
74C15
74S30
Formulation and numerical treatment of incompressibility constraints in large strain elastic-plastic analysis. (English) Zbl 0949.74066
Determining material true stress-strain curve from tensile specimens with rectangular cross-section. (English) Zbl 0996.74071
Reviewer: G.Olenev (Tartu)
MSC:
74R20
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. (English. Russian original) Zbl 0973.74033
Transl., Ser. 2, Am. Math. Soc. 193, 127-152 (1999); translation from Tr. St. Peterbg. Mat. Obshch. 5, 184-222 (1998).
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