A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation
暂无分享,去创建一个
[1] Martin Schmidt-Baldassari,et al. Numerical concepts for rate-independent single crystal plasticity , 2003 .
[2] I. Babuska. The finite element method with Lagrangian multipliers , 1973 .
[3] D A Parry,et al. A comparison of the size distribution of collagen fibrils in connective tissues as a function of age and a possible relation between fibril size distribution and mechanical properties , 1978, Proceedings of the Royal Society of London. Series B. Biological Sciences.
[4] J. C. Simo,et al. Variational and projection methods for the volume constraint in finite deformation elasto-plasticity , 1985 .
[5] C. Miehe,et al. Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity , 1996 .
[6] J. Moreau. Application of convex analysis to the treatment of elastoplastic systems , 1976 .
[7] D. Borst,et al. Fundamental issues in finite element analyses of localization of deformation , 1993 .
[8] R. Ogden,et al. A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .
[9] R. Hill. The mathematical theory of plasticity , 1950 .
[10] J. C. Simo,et al. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids , 1993 .
[11] C. Miehe. Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates , 1996 .
[12] Y Lanir,et al. Time-dependent mechanical behavior of sheep digital tendons, including the effects of preconditioning. , 2002, Journal of biomechanical engineering.
[13] Gerhard A. Holzapfel,et al. Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .
[14] Z. Bažant,et al. Nonlocal Continuum Damage, Localization Instability and Convergence , 1988 .
[15] E. Tanaka,et al. Inelastic Constitutive Modeling of Arterial and Ventricular Walls , 1996 .
[16] Christian Miehe,et al. Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation , 1995 .
[17] P. Block,et al. The mechanism of transluminal angioplasty. , 1984, International angiology : a journal of the International Union of Angiology.
[18] F. Dimaggio,et al. MATERIAL MODEL FOR GRANULAR SOILS , 1971 .
[19] Cv Clemens Verhoosel,et al. Non-Linear Finite Element Analysis of Solids and Structures , 1991 .
[20] Ioannis Vardoulakis,et al. Constitutive laws for engineering materials: theory and application , 1987 .
[21] S. Belkoff,et al. A failure model for ligaments. , 1999, Journal of biomechanics.
[22] J. C. Simo,et al. Non‐smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms , 1988 .
[23] Y. Fung,et al. Pseudoelasticity of arteries and the choice of its mathematical expression. , 1979, The American journal of physiology.
[24] V. Wright,et al. Mechanical properties of skin: a bioengineering study of skin structure. , 1966, Journal of applied physiology.
[25] Ray W. Ogden,et al. Nearly isochoric elastic deformations: Application to rubberlike solids , 1978 .
[26] Akhtar S. Khan,et al. Continuum theory of plasticity , 1995 .
[27] Gerhard A. Holzapfel,et al. A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications , 2001 .
[28] J. Hutchinson,et al. PLASTICITY THEORY , 2008, How to Love Everyone and Almost Get Away with It.
[29] L. E. Malvern. Introduction to the mechanics of a continuous medium , 1969 .
[30] A.J.M. Spencer,et al. Constitutive Theory for Strongly Anisotropic Solids , 1984 .
[31] J. Moreau. Evolution problem associated with a moving convex set in a Hilbert space , 1977 .
[32] Christian Miehe,et al. A comparative study of stress update algorithms for rate‐independent and rate‐dependent crystal plasticity , 2001 .
[33] C. Miehe,et al. On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity , 1994 .
[34] Dimitri P. Bertsekas,et al. Constrained Optimization and Lagrange Multiplier Methods , 1982 .
[35] R. Ogden. Non-Linear Elastic Deformations , 1984 .
[36] Joško Ožbolt,et al. NUMERICAL SMEARED FRACTURE ANALYSIS: NONLOCAL MICROCRACK INTERACTION APPROACH , 1996 .
[37] S. Yazdani,et al. A constitutive model of the artery with damage , 1997 .
[38] M. A. Crisfield,et al. Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics , 1997 .
[39] P. Flory,et al. Thermodynamic relations for high elastic materials , 1961 .
[40] J. C. Simo,et al. A J 2 -flow theory exhibiting a corner-like effect and suitable for large-scale computation , 1987 .
[41] J. C. Simo,et al. Numerical analysis and simulation of plasticity , 1998 .
[42] E. Tanaka,et al. An inelastic constitutive model of blood vessels , 1990 .
[43] M. Wilkins. Calculation of Elastic-Plastic Flow , 1963 .
[44] Salunke Nv,et al. Biomechanics of atherosclerotic plaque. , 1997 .
[45] R. F. Ker,et al. Fatigue quality of mammalian tendons. , 2000, The Journal of experimental biology.
[46] M Abrahams,et al. Mechanical behaviour of tendon in vitro. A preliminary report. , 1967, Medical & biological engineering.
[47] R. Asaro,et al. Micromechanics of Crystals and Polycrystals , 1983 .
[48] Robert L. Taylor,et al. Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems☆ , 1993 .
[49] J. Weiss,et al. Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .
[50] A D McCulloch,et al. Strain softening in rat left ventricular myocardium. , 1997, Journal of biomechanical engineering.