scholarly journals Numerical aspects associated with the implementation of a finite strain, elasto-viscoelastic-viscoplastic constitutive theory in principal stretches

Author(s):  
D. W. Holmes ◽  
J. G. Loughran
2004 ◽  
Vol 126 (1) ◽  
pp. 38-44 ◽  
Author(s):  
Alan D. Freed

A set of invariants are presented for transverse-isotropic materials whose gradients produce strain fields, instead of deformation fields as is typically the case. Finite-strain theories for elastic and K-BKZ-type viscoelastic solids are derived. Shear-free and simple shearing deformations are employed to illustrate the constitutive theory.


2020 ◽  
Vol 20 (4) ◽  
pp. 94-219
Author(s):  
I.S. CHUPRUNOV

The paper provides analysis of the legal nature and the mechanism for exercise of the right of pre-emption (right of first refusal) in respect of execution of a contract taking as an example of right of first refusal to purchase a stake in a non-public corporation, and also examines the boundaries of parties’ autonomy and freedom of contract in this area. The author comes to the conclusion that the key elements of the construction of the right of pre-emption are the transformation powers that belong to the right holder. The author also demonstrates that, notwithstanding their dominance in Russian law, the views, which suggest that exercise of the right of pre-emption leads to “transfer of rights and obligations of a purchaser” (the translative theory), should be rejected. These views must be replaced with the constitutive theory, according to which exercise of the right of pre-emption results in a new contract between the right holder and the seller (as a general rule, on the same terms that were agreed between the seller and the purchaser).


Author(s):  
Gerhard Oertel

Students of geology who may have only a modest background in mathematics need to become familiar with the theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. This book, based on a course taught by the author at UCLA, can provide the proper introduction. Included throughout the eight chapters are 136 complex problems, advancing from vector algebra in standard and subscript notations, to the mathematical description of finite strain and its compounding and decomposition. Fully worked solutions to the problems make up the largest part of the book. With their help, students can monitor their progress, and geologists will be able to utilize subscript and matrix notations and formulate and solve tensor problems on their own. The book can be successfully used by anyone with some training in calculus and the rudiments of differential equations.


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