Mechanics of Random and Multiscale Microstructures

[1]  W. Gibbs,et al.  Finite element methods , 2017, Graduate Studies in Mathematics.

[2]  C. Huet.  Extended Clapeyron formulae for viscoelasticity problems in the time domain and application to the boundary-condition effect in random composite bodies , 2001 .

[3]  Stéphane Bugat,et al.  Comportement et endommagement des aciers austéno-ferritiques vieillis : une approche micromécanique , 2000 .

[4]  H. Biermann,et al.  A statistical model of fatigue damage evolution in particulate-reinforced metal-matrix-composites , 2000 .

[5]  Jacques Besson,et al.  Modeling of scatter and size effect in ductile fracture: application to thermal embrittlement of duplex stainless steels , 2000 .

[6]  R. Luciano,et al.  Bounds on non-local effective relations for random composites loaded by configuration-dependent body force , 2000 .

[7]  P. P. Castañeda,et al.  A second-order homogenization method in finite elasticity and applications to black-filled elastomers , 2000 .

[8]  N. Kikuchi,et al.  Simulation of the multi-scale convergence in computational homogenization approaches , 2000 .

[9]  Christian Huet,et al.  Coupled size and boundary-condition effects in viscoelastic heterogeneous and composite bodies , 1999 .

[10]  Jacques Besson,et al.  Micromechanical modeling of the behavior of duplex stainless steels , 1999 .

[11]  M. Ostoja-Starzewski,et al.  Microstructural disorder, mesoscale finite elements and macroscopic response , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[12]  S. Hazanov,et al.  On apparent properties of nonlinear heterogeneous bodies smaller than the representative volume , 1999 .

[13]  J. Trębicki,et al.  On the growth and decay of acceleration waves in random media , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[14]  J. Willis,et al.  Variational second-order estimates for nonlinear composites , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[15]  A. Pineau,et al.  INTERGRANULAR FRACTURE STRESS AND PHOSPHORUS GRAIN BOUNDARY SEGREGATION OF A Mn-Ni-Mo STEEL , 1999 .

[16]  K. Alzebdeh,et al.  On a Spring-Network Model and Effective Elastic Moduli of Granular Materials , 1999 .

[17]  Martin Ostoja-Starzewski,et al.  Stochastic finite elements as a bridge between random material microstructure and global response , 1999 .

[18]  Yahya,et al.  STATISTICAL MODELLING OF INTERGRANULAR BRITTLE FRACTURE IN A LOW ALLOY STEEL , 1998 .

[19]  A. Pineau,et al.  Effect of microstructure on the susceptibility of a 533 steel to temper embrittlement , 1998 .

[20]  S. Hazanov,et al.  Hill condition and overall properties of composites , 1998 .

[21]  Martin Ostoja-Starzewski,et al.  Random field models of heterogeneous materials , 1998 .

[22]  Michael Ortiz,et al.  Fracture analysis of cellular materials: A strain gradient model , 1998 .

[23]  B. Fedelich.  A stochastic theory for the problem of multiple surface crack coalescence , 1998 .

[24]  François Hild,et al.  HIGH-CYCLE FATIGUE BEHAVIOUR OF SPHEROIDAL GRAPHITE CAST IRON , 1998 .

[25]  Z. Bažant,et al.  Fracture and Size Effect in Concrete and Other Quasibrittle Materials , 1997 .

[26]  Jacques Besson,et al.  Size and geometry effects on ductile rupture of notched bars in a C-Mn steel: experiments and modelling , 1997 .

[27]  A. A. Gusev.  Representative volume element size for elastic composites: A numerical study , 1997 .

[28]  Jacques Besson,et al.  Notch fracture toughness of a cast duplex stainless steel: modelling of experimental scatter and size effect , 1997 .

[29]  Jacques Besson,et al.  Large scale object-oriented finite element code design , 1997 .

[30]  J. Mier.  Fracture Processes of Concrete , 1997 .

[31]  Schulte,et al.  Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions. , 1996, Physical review. B, Condensed matter.

[32]  Pedro Ponte Castañeda.  Exact second-order estimates for the effective mechanical properties of nonlinear composite materials , 1996 .

[33]  I. Jasiuk,et al.  Composites with functionally graded interphases: Mesocontinuum concept and effective transverse conductivity , 1996 .

[34]  W. Drugan,et al.  A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites , 1996 .

[35]  A. Bakker.  Mechanical Behaviour of Materials , 1995 .

[36]  Sunil Saigal,et al.  Stochastic boundary elements for two-dimensional potential flow in non-homogeneous media , 1995 .

[37]  A. Pineau,et al.  Short crack effects in fracture and fatigue , 1995 .

[38]  Christian Huet,et al.  Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume , 1994 .

[39]  E. R. Rios,et al.  INTERACTIVE EFFECT OF TWO COPLANAR CRACKS ON PLASTIC YIELDING AND COALESCENCE , 1994 .

[40]  E. Kröner.  Nonlinear elastic properties of micro-heterogeneous media , 1994 .

[41]  E. Kantidis,et al.  Validation of a statistical criterion for intergranular brittle fracture of a low alloy steel through uniaxial and biaxial (tension-torsion) tests , 1994 .

[42]  J. Willis,et al.  Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks , 1993 .

[43]  Martin Ostoja-Starzewski,et al.  Micromechanics as a Basis of Stochastic Finite Elements and Differences: An Overview , 1993 .

[44]  A. Pineau,et al.  Fatigue and creep-fatigue damage of , 1993, Metallurgical and Materials Transactions A.

[45]  J. Schijve,et al.  A normal distribution or a Weibull distribution for fatigue lives , 1993 .

[46]  G. I. Pshenichnov,et al.  A Theory of Latticed Plates and Shells , 1993 .

[47]  M. Larsson,et al.  Effect of inclusions on fatigue behaviour of hardened spring steel , 1993 .

[48]  R. Cook.  The Growth of Short Fatigue Cracks in an Aluminium Alloy , 1992 .

[49]  M. Goto,et al.  SCATTER CHARACTERISTICS OF FATIGUE LIFE AND THE BEHAVIOUR OF SMALL CRACKS , 1992 .

[50]  Margaret H. Wright,et al.  A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation , 1991, SIAM J. Sci. Comput..

[51]  Salvatore Torquato,et al.  Random Heterogeneous Media: Microstructure and Improved Bounds on Effective Properties , 1991 .

[52]  R. Cozar,et al.  Effect of crystallographic orientation of austenite on the formation of cleavage cracks in ferrite in an aged duplex stainless steel , 1990 .

[53]  M. Ostoja-Starzewski,et al.  Linear elasticity of planar delaunay networks: Random field characterization of effective moduli , 1989 .

[54]  A. Pineau,et al.  A CRACK CLOSURE STUDY TO PREDICT THE THRESHOLD BEHAVIOUR OF SMALL CRACKS , 1989 .

[55]  Ahmed K. Noor,et al.  Continuum Modeling for Repetitive Lattice Structures , 1988 .

[56]  Beale,et al.  Elastic fracture in random materials. , 1988, Physical review. B, Condensed matter.

[57]  J. Willis,et al.  A simple self-consistent analysis of wave propagation in particulate composites , 1988 .

[58]  F. Mudry,et al.  A local approach to cleavage fracture , 1987 .

[59]  近田 哲夫,et al.  温度による見かけひずみ決定のための改善した方法(Nuclear Engineering and Design,92(1986)) , 1987 .

[60]  C. E. Shamblen,et al.  Effect of inclusions on LCF life of HIP plus heat treated powder metal rené 95 , 1985 .

[61]  J. Willis,et al.  Variational Principles for Inhomogeneous Non-linear Media , 1985 .

[62]  Erik H. Vanmarcke,et al.  Random Fields: Analysis and Synthesis. , 1985 .

[63]  Yasuo Ochi,et al.  AN EXPERIMENTAL AND STATISTICAL INVESTIGATION OF SURFACE FATIGUE CRACK INITIATION AND GROWTH , 1985 .

[64]  A. Mcevily,et al.  On the development of crack closure with crack advance in a ferritic steel , 1984 .

[65]  A. Pineau,et al.  SHORT CRACK BEHAVIOUR IN NODULAR CAST IRON , 1984 .

[66]  J. Willis,et al.  The overall elastic response of composite materials , 1983 .

[67]  A. Pineau,et al.  A local criterion for cleavage fracture of a nuclear pressure vessel steel , 1983 .

[68]  R. L. Smith,et al.  Ultrasonic velocity and attenuation in an epoxy matrix containing lead inclusions , 1983 .

[69]  Graeme W. Milton,et al.  Bounds on the elastic and transport properties of two-component composites , 1982 .

[70]  C. Huet,et al.  Universal conditions for assimilation of a heterogeneous material to an effective continuum , 1982 .

[71]  J. Willis,et al.  A polarization approach to the scattering of elastic waves—II. Multiple scattering from inclusions , 1980 .

[72]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[73]  L. N. McCARTNEY,et al.  CAN SAFETY FACTORS BE REDUCED SAFELY WHEN DESIGNING AGAINST FATIGUE , 1979 .

[74]  L. N. McCartney,et al.  A new approach to Weibull's statistical theory of brittle fracture , 1979, International Journal of Fracture.

[75]  J. Im,et al.  Cavity formation from inclusions in ductile fracture , 1975 .

[76]  John R. Rice,et al.  ON THE RELATIONSHIP BETWEEN CRITICAL TENSILE STRESS AND FRACTURE TOUGHNESS IN MILD STEEL , 1973 .

[77]  F. A. McClintock,et al.  A Criterion for Ductile Fracture by the Growth of Holes , 1968 .

[78]  R. Hill.  A self-consistent mechanics of composite materials , 1965 .

[79]  A. Yaglom,et al.  An Introduction to the Theory of Stationary Random Functions , 1963 .

[80]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[81]  S. Shtrikman,et al.  On some variational principles in anisotropic and nonhomogeneous elasticity , 1962 .

[82]  F. John,et al.  On functions of bounded mean oscillation , 1961 .

[83]  Rohn Truell,et al.  Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid , 1956 .

[84]  Martin Ostoja-Starzewski,et al.  Lattice models in micromechanics , 2002 .

[85]  Élodie Ducourthial.  Simulation et analyse de la propagation d'une fissure macroscopique dans un milieu élastique fragile microfissuré , 2001 .

[86]  D. Jeulin,et al.  Random Structure Models for Homogenization and Fracture Statistics , 2001 .

[87]  M. Ostoja-Starzewski,et al.  Scale and boundary conditions effects in elastic properties of random composites , 2001 .

[88]  Yong Bai,et al.  Materials And Design of High Strength Pipelines , 2000 .

[89]  M. Ostoja-Starzewski.  Universal material property in conductivity of planar random microstructures , 2000 .

[90]  S. Carassou.  Déclenchement du clivage dans un acier faiblement allié : rôle de l'endommagement ductile localisé autour des inclusions , 1999 .

[91]  Claire Naudin,et al.  Modélisation de la tenacité de l'acier de cuve REP en présence de zones de ségrégation , 1999 .

[92]  Doina Cioranescu,et al.  Homogenization of Reticulated Structures , 1999 .

[93]  François Rivalin,et al.  Développement d'aciers pour gazoducs à haute limite d'élasticité et ténacité élevée : mécanique et mécanismes de la rupture ductile à grande vitesse , 1998 .

[94]  L. Arcangelis,et al.  Statistical Models for Fracture , 1998 .

[95]  J. Willis,et al.  Bounds of third order for the overall response of nonlinear composites , 1997 .

[96]  Ted Belytschko,et al.  Probabilistic Finite Element Method , 1995 .

[97]  D. Hayhurst.  Engineering Fracture Mechanics , 1995 .

[98]  K. Sab.  Homogenization of non-linear random media by a duality method. Application to plasticity , 1994 .

[99]  C. Huet.  Experimental Characterization, Micromechanical Simulation and Spatio-Stochastic Approach of Concrete Behaviours Below the Representative Volume , 1994 .

[100]  Mark Kachanov,et al.  Elastic Solids with Many Cracks and Related Problems , 1993 .

[101]  A. Pineau,et al.  MICROSTRUCTURALLY-BASED SIMULATION OF MULTIAXIAL LOW­ CYCLE FATIGUE DAMAGE OF 316L STAINLESS STEEL IN TERMS OF THE BEHAVIOUR OF A CRACK POPULATION , 1992 .

[102]  K. Sab.  On the homogenization and the simulation of random materials , 1992 .

[103]  A. Pineau,et al.  Global and Local Approaches of Fracture — Transferability of Laboratory Test Results to Components , 1992 .

[104]  Pedro Ponte Castañeda.  The effective mechanical properties of nonlinear isotropic composites , 1991 .

[105]  J. Brooks,et al.  Microstructural development and solidification cracking susceptibility of austenitic stainless steel welds , 1991 .

[106]  S. Suresh.  Fatigue of materials , 1991 .

[107]  Christian Huet,et al.  Application of variational concepts to size effects in elastic heterogeneous bodies , 1990 .

[108]  Wei Hua Tai,et al.  A new damage mechanics criterion for ductile fracture , 1987 .

[109]  Wei Hua Tai,et al.  A new microvoid-damage model for ductile fracture , 1986 .

[110]  Attila Askar,et al.  Lattice dynamical foundations of continuum theories , 1986 .

[111]  C. Stolz.  General Relationships between Micro and Macro Scales for the Non-linear Behaviour of Heterogeneous Media , 1986 .

[112]  Kazimierz Sobczyk,et al.  Stochastic wave propagation , 1985 .

[113]  J. Lemaître.  A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

[114]  A. Needleman,et al.  Analysis of the cup-cone fracture in a round tensile bar , 1984 .

[115]  Kim Wallin,et al.  Statistical model for carbide induced brittle fracture in steel , 1984 .

[116]  J. Newman,et al.  Stress-Intensity Factor Equations for Cracks in Three-Dimensional Finite Bodies , 1983 .

[117]  I. Bernstein,et al.  The effect of defects on the fatigue crack initiation process in two p/m superalloys: part i. fatigue origins , 1982 .

[118]  J. Willis.  Elasticity Theory of Composites , 1982 .

[119]  J. Willis.  Variational principles for dynamic problems for inhomogeneous elastic media , 1981 .

[120]  J. Willis,et al.  Variational and Related Methods for the Overall Properties of Composites , 1981 .

[121]  X. Xiu-san,et al.  A STATISTICAL THEORY OF BRITTLE FRACTURE , 1980 .

[122]  B. Budiansky,et al.  Elastic moduli of a cracked solid , 1976 .

[123]  Morton E. Gurtin,et al.  Variational principles for linear elastodynamics , 1964 .

[124]  G. Sachs,et al.  Zur Ableitung einer Fließbedingung , 1929 .