TY - GEN
T1 - Nonlocality of continuum approximation of microcracked materials
AU - Bazant, Zdenek P.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - A continuum with nonlocal damage has recently been shown to be an effective approach for the analysis of strain-softening structures. The basic idea is that only the damage, normally caused by microcracking, is nonlocal, being a function of the averaged strain, while the strain and stress are local continuum properties. Physical justification by micromechanics, however, has been rather limited. In a recent study, it was suggested that the physical source of nonlocality of damage is the fact that the formation and growth of a microcrack depends on the strain energy stored in a nonzero volume of the material surrounding the microcrack, whose release drives the growth of the microcrack. This argument was developed only for a rather idealized, easily tractable case - a uniaxial stress field, a quasiperiodic array of small cracks arranged on a cubic lattice, and neglect of crack interactions. The present presentation shows an improved version of this arguments, as well as another argument that is based on interactions among microcracks.
AB - A continuum with nonlocal damage has recently been shown to be an effective approach for the analysis of strain-softening structures. The basic idea is that only the damage, normally caused by microcracking, is nonlocal, being a function of the averaged strain, while the strain and stress are local continuum properties. Physical justification by micromechanics, however, has been rather limited. In a recent study, it was suggested that the physical source of nonlocality of damage is the fact that the formation and growth of a microcrack depends on the strain energy stored in a nonzero volume of the material surrounding the microcrack, whose release drives the growth of the microcrack. This argument was developed only for a rather idealized, easily tractable case - a uniaxial stress field, a quasiperiodic array of small cracks arranged on a cubic lattice, and neglect of crack interactions. The present presentation shows an improved version of this arguments, as well as another argument that is based on interactions among microcracks.
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M3 - Conference contribution
AN - SCOPUS:0025721646
SN - 0872628043
T3 - Mechanics Computing in 1990's and Beyond
SP - 1127
EP - 1129
BT - Mechanics Computing in 1990's and Beyond
A2 - Adeli, Hojjat
A2 - Sierakowski, Robert L.
PB - Publ by ASCE
T2 - ASCE Engineering Mechanics Specialty Conference
Y2 - 20 May 1991 through 22 May 1991
ER -