02810nam a2200301 a 4500 vtls000062342 KUKTEM 20251125095955.0 120618t2012 nyua f 001 0 eng d 9781107025417 (hbk.) 9781107699502 (pbk.) 201509091031 aida 201502101430 ariffin 201206181652 safura UMP TA405 .B54 2012 Bigoni, Davide Nonlinear solid mechanics : bifurcation theory and material instability / Davide Bigoni New York : Cambridge University Press, <2012-2014> xvi, 532 p. : ill. (some col.) ; 26 cm. First paperback ed. 2014 Includes bibliographical references and index Machine 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 "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"-- Provided by publisher Nonlinear mechanics Materials Mechanical properties Elastic analysis (Engineering) Bifurcation theory 0 0 0 0 10000 10000 2019-09-04 400.27 0 TA405 .B54 2012 0000092542 2019-09-04 00:00:00 1 400.27 2019-09-04 OPEN 0 0 0 0 10000 10000 2019-09-04 400.27 0 TA405 .B54 2012 0000100862 2019-09-04 00:00:00 2 400.27 2019-09-04 OPEN c.2 VIRTUA40 76378 76384 VTLSSORT0080*0200*0201*0400*0900*1000*2450*2600*3000*5000*5040*5050*5200*6500*6501*6502*6503*9992