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Improved parameter selection method for mesoscopic numerical simulation test of direct tensile failure of rock and concrete 被引量:1
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作者 刘智光 陈健云 +1 位作者 白卫峰 徐强 《Journal of Central South University》 SCIE EI CAS 2010年第5期1079-1086,共8页
In order to numerically simulate the failure process of rock and concrete under uniaxial tension,an improved method of selecting the mechanical properties of materials was presented for the random mechanic parameter m... In order to numerically simulate the failure process of rock and concrete under uniaxial tension,an improved method of selecting the mechanical properties of materials was presented for the random mechanic parameter model based on the mesoscopic damage mechanics.The product of strength and elastic modulus of mesoscale representative volume element was considered to be one of the mechanical property parameters of materials and assumed to conform to specified probability distributions to reflect the heterogeneity of mechanical property in materials.With the improved property parameter selection method,a numerical program was developed and the simulation of the failure process of the rock and concrete specimens under static tensile loading condition was carried out.The failure process and complete stress-strain curves of a class of rock and concrete in stable fracture propagation manner under uniaxial tension were obtained.The simulated macroscopic mechanical behavior was compared with the available laboratory experimental observation,and a reasonable agreement was obtained.Verification shows that the improved parameter selection method is suitable for mesoscopic numerical simulation in the failure process of rock and concrete. 展开更多
关键词 ROCK CONCRETE stable fracture propagation product of strength and elastic modulus HETEROGENEITY numerical simulation uniaxial tension
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A Mathematical Model for Redshift
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作者 Peter Y.P.Chen 《Applied Mathematics》 2020年第3期146-156,共11页
We have used model scaling so that the propagation of light through space could be studied using the well-known nonlinear Schr&#246;dinger equation. We have developed a set of numerical procedures to obtain a stab... We have used model scaling so that the propagation of light through space could be studied using the well-known nonlinear Schr&#246;dinger equation. We have developed a set of numerical procedures to obtain a stable propagating wave so that it could be used to find out how wavelength could increase with distance travelled. We have found that broadening of wavelength, expressed as redshift, is proportional to distance, a fact that is in agreement with many physical observations by astronomers. There are other reasons for redshifts that could be additional to the transmission redshift, resulting in the deviation from the linear relationship as often observed. Our model shows that redshift needs not be the result of an expanding space that is a long standing view held by many astrophysicists. Any theory about the universe, if bases on an expanding space as physical fact, is open to question. 展开更多
关键词 REDSHIFT Mathematical Modelling Model Scaling Nonlinear Schrodinger Equation Numerical Solution stable Propagating Waves
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