### Domain Decomposition Methods In Structural Optimization.

#### Abstract

Application of domain decomposition techniques for structural analysis and design

are outlined in this paper. This technique divides the whole finite element problem into subdomains

in order to solve for each subdomain a smaller problem, and interface unknowns should

be explicitly treated. Procedures for structural analysis are described either in the so called

primal or dual solution of the interface problem.

Structural size optimization problems are also addressed. Element size (i.e. plate thickness)

are design variables of the optimization problem, and the structure volume the objective function.

The nodal displacements may be introduced as optimization variables in the so called

Structural ANalysis and Design (SAND) problems. The number of variables in this case is increased,

but there is no need to solve the equilibrium equations, and sensibility matrices are

explicit. Interior point algorithms are used to solve the minimization problem.

are outlined in this paper. This technique divides the whole finite element problem into subdomains

in order to solve for each subdomain a smaller problem, and interface unknowns should

be explicitly treated. Procedures for structural analysis are described either in the so called

primal or dual solution of the interface problem.

Structural size optimization problems are also addressed. Element size (i.e. plate thickness)

are design variables of the optimization problem, and the structure volume the objective function.

The nodal displacements may be introduced as optimization variables in the so called

Structural ANalysis and Design (SAND) problems. The number of variables in this case is increased,

but there is no need to solve the equilibrium equations, and sensibility matrices are

explicit. Interior point algorithms are used to solve the minimization problem.

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**Asociación Argentina de Mecánica Computacional**Güemes 3450

S3000GLN Santa Fe, Argentina

Phone: 54-342-4511594 / 4511595 Int. 1006

Fax: 54-342-4511169

E-mail: amca(at)santafe-conicet.gov.ar

**ISSN 2591-3522**