Hui-Hui Dai
Mathematical analysisDimension (vector space)Nonlinear systemBilinear interpolationSofteningMathematicsConvexityParametric equation
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An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. With general nonlinear assumptions on the constitutive relations, it turns out that the governing equations can be viewed as a system of parametric equations, which couple the size effect and the nonlinear effect. Compared with the bilinear assumptions in previous literature, we find that the nonlinear assumptions herein capture mor...
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