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Design with anisotropic materials
2004In Chapters 1 and 2 we have concentrated on the generation of optimal topologies based on the use of isotropic materials within the framework of “classical” black-white (or 0–1) structures. Early developments in topology optimization were build around the employment of composite materials as an interpolation of void and full material.
Martin P. Bendsøe, Ole Sigmund
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Multi-material topology optimization considering isotropic and anisotropic materials combination
Structural And Multidisciplinary Optimization, 2021R. Bohrer, I. Kim
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Anisotropic Elasticity and Multi-Material Singularities
Journal of Elasticity, 2001Abstract Multi-material wedges associated with convergence of geometrical and material discontinuity generally show singular stress fields. Under a temperature load, the different sectors of the wedge experience incompatible thermal expansions.
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Anisotropic Constructive Shearwave Interference Measurement of Transversely Anisotropic Materials
2018 IEEE International Ultrasonics Symposium (IUS), 2018Fibrous tissues, such as skeletal muscle, tendons, and myocardium, have been shown to support orientation-dependent shear wave propagation. It has been shown that shear waves can be induced and measured with ultrasound to assess such anisotropy. Existing methods have required either a successively-rotated linear array, precluding real-time imaging, or ...
Peter Hollender +7 more
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Linear Anisotropic Elastic Materials
1996The relations between stresses and strains in an anisotropic elastic material are presented in this chapter. A linear anisotropic elastic material can have as many as 21 elastic constants. This number is reduced when the material possesses a certain material symmetry.
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Anisotropic Hardening of Initially Orthotropic Materials
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1979AbstractA hardening model for an orthotropic material is proposed. The corresponding anisotropic parameters are the components of a fourth order tensor function of the plastic strain, entering a quadratic equation for the yield surface. Assuming polynomial dependence on the plastic strain, the most general form of a polynomial fourth order orthotropic ...
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A Beam Theory for Anisotropic Materials
Journal of Applied Mechanics, 1985Beam theory plays an important role in structural analysis. The basic assumption is that initially plane sections remain plane after deformation, neglecting out-of-plane warpings. Predictions based on these assumptions are accurate for slender, solid, cross-sectional beams made out of isotropic materials.
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Anisotropic material properties of fused deposition modeling ABS
, 2002Sung-hoon Ahn +4 more
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Mechanics of Anisotropic Materials
2015Preliminaries.- Hooke's law - Classes of symmetry of the elastic materials, the elastic energy.- Constitutive equations for isotropic and anisotropic linear visco-elastic materials.- Mechanics of anisotropic composite materials.- General concept of limit surface - convexity, normality rule, material stability.- Termination of elastic range for ductile ...
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