On the equations of motion for rigid bodies with surface growth

DOI10.1016/j.ijengsci.2004.07.010zbMath1211.70008OpenAlexW1965985278MaRDI QIDQ536311

Jeun Jye Ong, Oliver M. O'Reilly

Publication date: 17 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2004.07.010

zbMATH Keywords

growthrigid body dynamics

Mathematics Subject Classification ID

Variable mass, rockets (70P05) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (5)

Accretion and ablation in deformable solids with an Eulerian description: examples using the method of characteristics ⋮ A finite element method for modeling surface growth and resorption of deformable solids ⋮ Nonlinear mechanics of accretion ⋮ Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion ⋮ Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies

Cites Work

• A constitutive model for material growth and its application to three-dimensional finite element analysis
• Thermomechanics of volumetric growth in uniform bodies
• On the advantages of a geometrical viewpoint in the derivation of Lagrange's equations for a rigid continuum
• Configuration forces as basic concepts of continuum physics
• An introduction to continuum mechanics
• Non-classical derivation of the transport theorems for wave fronts
• Hamilton's principle for systems of changing mass
• Compatibility and the genesis of residual stress by volumetric growth
• A Treatment of Rigid Body Dynamics
• A Theory of Volumetric Growth for Compressible Elastic Biological Materials
• The mathematical theory of the motion of rotated and unrotated rockets

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