02545nam a2200253 a 4500001001400000003000700014005001700021008004100038020002500079020002500104040000800129100001900137245009400156260005700250300004600307500002900353504005000382505089500432520084501327650002402172650003702196650003502233650002302268vtls000062342KUKTEM20251125095955.0120618t2012    nyua   f      001 0 eng d  a9781107025417 (hbk.)  a9781107699502 (pbk.)  aUMP1 aBigoni, Davide10aNonlinear solid mechanics :bbifurcation theory and material instability /cDavide Bigoni  aNew York :bCambridge University Press,c<2012-2014>  axvi, 532 p. :bill. (some col.) ;c26 cm.  aFirst paperback ed. 2014  aIncludes bibliographical references and index0 aMachine generated contents note: 1. Introduction; 2. Elements of tensor algebra and analysis; 3. Solid mechanics at finite strains; 4. Isotropic nonlinear hyperelasticity; 5. Solutions of simple problems in finitely deformed nonlinear elastic solids; 6. Constitutive equations and anisotropic elasticity; 7. Yield functions with emphasis on pressure-sensitivity; 8. Elastoplastic constitutive equations; 9. Moving discontinuities and boundary value problems; 10. Global conditions of uniqueness and stability; 11. Local conditions for uniqueness and stability; 12. Bifurcation of elastic solids deformed incrementally; 13. Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity; 14. Wave propagation, stability and bifurcation; 15. Post-critical behaviour and multiple shear band formation; 16. A perturbative approach to material instability  a"This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life and simple examples taken from structural mechanics"--cProvided by publisher 0aNonlinear mechanics 0aMaterialsxMechanical properties 0aElastic analysis (Engineering) 0aBifurcation theory