Constitutive models for cohesive particulate materials

This paper reviews several constitutive models for the load response of bulk solids. Constitutive models based on microscopic concepts and continuum principles are presented. The review demonstrates the need for a generalized constitutive model that can predict the stress-strain behaviour of cohesive powders, since none have yet been found. However, two continuum models have been identified as having sufficient versatility to be chosen as candidate models for application to cohesive food and agricultural powders. One model is an elasto-viscoplastic model based on the critical-state theory, and includes seven material parameters in the constitutive equations. The second model uses the endochronic theory to characterize stress-strain response, and requires 15 parameters in the formulation. Both models can be used for isotropic and anisotropic loading conditions, as well as monotonic and cyclic loading.

[1]  Fusao Oka,et al.  CONSTITUTIVE EQUATIONS FOR NORMALLY CONSOLIDATED CLAY BASED ON ELASTO-VISCOPLASTICITY , 1982 .

[2]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[3]  Fusao Oka,et al.  Two‐dimensional consolidation analysis using an elasto‐viscoplastic constitutive equation , 1986 .

[4]  O. Molerus,et al.  Theory of yield of cohesive powders , 1975 .

[5]  P. T. Stainforth,et al.  An analytical hopper design method for cohesive powders , 1973 .

[6]  Chandrakant S. Desai,et al.  A constitutive model and associated testing for soft rock , 1987 .

[7]  P. Perzyna.  Thermodynamic Theory of Viscoplasticity , 1971 .

[8]  D. Naylor,et al.  A continuous plasticity version of the critical state model , 1985 .

[9]  The compaction process and deformability of granules , 1982 .

[10]  R. L. Kondner.  Hyperbolic Stress-Strain Response: Cohesive Soils , 1963 .

[11]  D. Cheng,et al.  The tensile strength of powders , 1968 .

[12]  Mikio Matsui.  A CONSTITUTIVE MODEL FOR CYCLIC VISCOPLASTICITY OF SOILS , 1988 .

[13]  Jaroslav Feda,et al.  MECHANICS OF PARTICULATE MATERIALS; THE PRINCIPLES , 1982 .

[14]  O. C. Zienkiewicz,et al.  Application of an anisotropic hardening model in the analysis of elasto–plastic deformation of soils , 1979 .

[15]  S. M. Doraivelu,et al.  A new yield function for compressible PM materials , 1984 .

[16]  V. M. Puri,et al.  Elastic-viscoplastic cyclic constitutive model parameter determination and evaluation for wheat en masse. , 1990 .

[17]  H. B. Manbeck,et al.  Determination of Elastoplastic Constitutive Parameters for Wheat En Masse , 1986 .

[18]  R. Nova,et al.  A constitutive model for sand in triaxial compression , 1979 .

[19]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[20]  Han-chin Wu,et al.  Endochronic Modeling of Sand in True Triaxial Test , 1985 .

[21]  F. Dimaggio,et al.  MATERIAL MODEL FOR GRANULAR SOILS , 1971 .

[22]  A. H. Gerritsen.  The influence of the degree of stress anisotropy during consolidation on the strength of cohesive powdered materials , 1985 .

[23]  John P. Carter,et al.  A critical state soil model for cyclic loading , 1979 .

[24]  O. Molerus,et al.  Effect of interparticle cohesive forces on the flow behaviour of powders , 1978 .

[25]  P. W. Taylor,et al.  DYNAMIC CYCLIC STRAIN TESTS ON A CLAY , 1969 .

[26]  Chandrakant S. Desai,et al.  A general basis for yield, failure and potential functions in plasticity , 1980 .

[27]  Silva Kočova,et al.  The tensile properties of mixtures of cohesive powders , 1973 .

[28]  Cyclic Loading Response of Cohesive Soils Using A Bounding Surface Plasticity Model , 1981 .

[29]  K. Terzaghi,et al.  Soil mechanics in engineering practice , 1948 .

[30]  H. Hirai.  A COMBINED HARDENING MODEL FOR ANISOTROPICALLY CONSOLIDATED CLAYS , 1989 .

[31]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[32]  Teruo Nakai,et al.  True Triaxial Tests on Normally Consolidated Clay and Analysis of the Observed Shear Behavior Using Elastoplastic Constitutive Models , 1986 .

[33]  D. Cheng,et al.  Some investigations into the strength and flow properties of powders , 1965 .

[34]  K. Hashiguchi.  Constitutive Equations of Granular Materials , 1983 .