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Solution of the Quasi‐static Contact Problem
This chapter helps the readers to solve the system of equations by restricting it to the static frame. The inertial term subsequently disappears and the system reduces to one consisting of nonlinear algebraic equations, allowing us to concentrate solely on the nonlinear aspect of the problem. The chapter explains how to solve this system using the iterative Newton‐Raphson method, and describes the expression for the contact tangent matrix, which is the essential ingredient for each numerical iteration. A calculation with friction is costly in terms of memory and in computation time than a calculation without friction. The solution algorithm for the case of the static contact problem with the arc‐length method is analogous to that with the direct incrementation of the variable factors, while being a little more complicated, because this time the arc length has to be managed. The chapter focuses on the SI units of the different quantities involved in the contact matrix.
Solution of the Quasi‐static Contact Problem
This chapter helps the readers to solve the system of equations by restricting it to the static frame. The inertial term subsequently disappears and the system reduces to one consisting of nonlinear algebraic equations, allowing us to concentrate solely on the nonlinear aspect of the problem. The chapter explains how to solve this system using the iterative Newton‐Raphson method, and describes the expression for the contact tangent matrix, which is the essential ingredient for each numerical iteration. A calculation with friction is costly in terms of memory and in computation time than a calculation without friction. The solution algorithm for the case of the static contact problem with the arc‐length method is analogous to that with the direct incrementation of the variable factors, while being a little more complicated, because this time the arc length has to be managed. The chapter focuses on the SI units of the different quantities involved in the contact matrix.
Solution of the Quasi‐static Contact Problem
Le van, Anh (author)
Contact in Structural Mechanics ; 109-155
2024-06-18
47 pages
Article/Chapter (Book)
Electronic Resource
English
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