Symbolic Formulation and Automatic Derivation of Complex Material Models
نویسنده
چکیده
Nowadays, the use of advanced software technologies, especially symbolic and algebraic systems, object oriented techniques and automatic differentiation tools, can influence directly on how the mechanical problem and numerical model are postulated and solved, leading to cooperative problem solving in computational mechanics. Emphasis in the paper will be given to direct analyses of complex elasto-plastic problems where straightforward use of symbolic systems leads to the exponential growth of the derived expressions.
منابع مشابه
Double Derivations, Higher Double Derivations and Automatic Continuity
Let be a Banach algebra. Let be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...
متن کاملAutomatic Finite Volume Discretizations Through Symbolic Computations
The finite volume method is a popular method for the solution of systems of partial differential equations whenever local conservation properties are desired. However, engineering software usually does not reflect the underlying continuous mathematical formulation internally, but instead implements the discrete system directly, sacrificing a higher-level representation. As a consequence, the di...
متن کاملShuffled Frog-Leaping Programming for Solving Regression Problems
There are various automatic programming models inspired by evolutionary computation techniques. Due to the importance of devising an automatic mechanism to explore the complicated search space of mathematical problems where numerical methods fails, evolutionary computations are widely studied and applied to solve real world problems. One of the famous algorithm in optimization problem is shuffl...
متن کاملAutomatic Derivation of Statistical Data Analysis Algorithms: Planetary Nebulae and Beyond
AUTOBAYES is a fully automatic program synthesis system for the data analysis domain. Its input is a declarative problem description in form of a statistical model; its output is documented and optimized C/C++ code. The synthesis process relies on the combination of three key techniques. Bayesian networks are used as a compact internal representation mechanism which enables problem decompositio...
متن کامل