Abstract

Expectations and challenges of modern sustainable engineering and architecture stimulate intensive development of structural analysis and design techniques. Designing durable, light and eco-friendly constructions starts at the conceptual stage, where new efficient design and optimization tools need to be implemented. Innovative methods, like topology optimization, become more often a daily practice of engineers and architects in the process of solving more and more demanding up-to-date engineering problems efficiently. Topology optimization is a dynamically developing research area with numerous applications to many research and engineering fields, ranging from the mechanical industry, through civil engineering to architecture. The motivation behind the present study is to make an attempt to broaden the area of topology optimization applications by presenting an original approach regarding the implementation of the multi-domain and multi-material topology optimization to the design and the strengthening/retrofitting of structures. Moreover, the implementation of the design-dependent self-weight loading into the design model is taken into account as a significantly important issue, since it influences the final results of the topology optimization process, especially when considering massive engineering structures. As an optimization tool, the original efficient heuristic algorithm based on Cellular Automata concept is utilized.

Highlights

  • This paper presents the idea of sub-domain-based topology optimization of multimaterial structures under both external and self-weight loading

  • The distribution of material within a subdomain allows for this concept to be applied to architectural design, while multi-material solutions are desirable in innovative sustainable buildings to make constructions more environmentally friendly and modern

  • The main issue, which can be a challenge in designing massive structures using topology optimization, is the implementation of the design-dependent loading, namely self-weight loading

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The strengthening of civil structures suffering from the effects of material degradation, an extension of the standard area of application of topology optimization, was proposed as well This very important and up-to-date topic of retrofitting heritage structures has been reported in the literature and [34,35] may serve here as examples. This paper proposes an original insight into the development of design and strengthening of civil structures within innovative sustainable architecture by introducing a heuristic approach to multi-material topology optimization, which can be performed for specially arranged structural sub-domains for which different materials are implemented.

Sub-Domain Based Multi-Material Topology Optimization
Cellular Automata Rules for Topology Optimization
Topology Optimization of Uni-Material Structure under External Load
Topology Optimization of Multi-Material Structure under External Load
Topology Optimization of Multi-Material Structure under External Load and the
Example 2—Multi-Layer Structure
Topology Optimization Techniques Adapted to Strengthening and Retrofitting of
Strengthening of the Multi-Material 3D Structures
Discussion and Conclusions
Methods
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