Martin Philip Bendsøe
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Martin Philip Bendsøeengineering Degrees
Engineering
#3484
World Rank
#4571
Historical Rank
Civil Engineering
#130
World Rank
#174
Historical Rank
Applied Physics
#654
World Rank
#674
Historical Rank

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Engineering
Martin Philip Bendsøe's Degrees
- PhD Civil Engineering Technical University of Denmark
- Masters Civil Engineering Technical University of Denmark
Why Is Martin Philip Bendsøe Influential?
(Suggest an Edit or Addition)Martin Philip Bendsøe's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Generating optimal topologies in structural design using a homogenization method (1988) (6178)
- Topology Optimization: "Theory, Methods, And Applications" (2011) (4822)
- Optimal shape design as a material distribution problem (1989) (3579)
- Material interpolation schemes in topology optimization (1999) (2260)
- Optimization of Structural Topology, Shape, And Material (1995) (1288)
- Topology optimization of continuum structures with local stress constraints (1998) (709)
- Topology Optimization (2009) (699)
- Layout Optimization of Structures (1995) (579)
- A new approach to variable-topology shape design using a constraint on perimeter (1996) (506)
- Hierarchical optimization of material and structure (2002) (404)
- Topology optimization of heat conduction problems using the finite volume method (2006) (331)
- Optimization methods for truss geometry and topology design (1994) (305)
- An Analytical Model to Predict Optimal Material Properties in the Context of Optimal Structural Design (1994) (267)
- Shape optimization of structures for multiple loading conditions using a homogenization method (1992) (260)
- On CAD-integrated structural topology and design optimization (1991) (246)
- Topology design of structures (1993) (183)
- Topology and Generalized Layout Optimization of Elastic Structures (1993) (181)
- A New Method for Optimal Truss Topology Design (1993) (176)
- Parametrization in Laminate Design for Optimal Compliance (1997) (170)
- A topological derivative method for topology optimization (2007) (145)
- Free material optimization via mathematical programming (1997) (141)
- Equivalent displacement based formulations for maximum strength truss topology design (1992) (138)
- A Variational Formulation for Multicriteria Structural Optimization (1983) (136)
- A geometry projection method for shape optimization (2004) (134)
- Topology design with optimized, self‐adaptive materials (1994) (130)
- Optimal design of material properties and material distribution for multiple loading conditions (1995) (129)
- Extensions and applications (2004) (126)
- IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials (2006) (113)
- Topology optimization of periodic microstructures with a penalization of highly localized buckling modes (2002) (111)
- An interpretation for min-max structural design problems including a method for relaxing constraints (1984) (107)
- Approximate reanalysis in topology optimization (2009) (99)
- Topology Optimization - Broadening the Areas of Application (2005) (93)
- Topology optimization by distribution of isotropic material (2004) (93)
- Hinge-free topology optimization with embedded translation-invariant differentiable wavelet shrinkage (2004) (88)
- Necessary conditions for optimal design of structures with a nonsmooth eigenvalue based criterion (1995) (68)
- The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study (1993) (61)
- Progress in Industrial Mathematics at ECMI 96 (1997) (60)
- Least-weight design of perforated elastic plates. II (1987) (60)
- Optimization of structure and material properties for solids composed of softening material (1996) (52)
- Integrated topology and boundary shape optimization of 2-D solids (1991) (51)
- Planar articulated mechanism design by graph theoretical enumeration (2004) (49)
- A material optimization model to approximate energy bounds for cellular materials under multiload conditions (2003) (46)
- Articulated mechanism design with a degree of freedom constraint (2004) (42)
- A method for treating damage related criteria in optimal topology design of continuum structures (1998) (42)
- A method of design against vibration resonance of beams and shafts (1985) (38)
- Global and Local Material Optimization Models Applied to Anisotropic Bone Adaptation (1999) (35)
- New displacement-based methods for optimal truss topology design (1991) (33)
- Variable-topology shape optimization with a control on perimeter (1994) (31)
- Global optima for the Zhou–Rozvany problem (2011) (28)
- Design for maximal flexibility as a simple computational model of damage (1995) (26)
- Synthesis in Bio Solid Mechanics (1999) (25)
- Variable-Topology Optimization: Status and Challenges (1999) (23)
- Optimization of material properties for Mindlin plate design (1993) (23)
- SENSITIVITY ANALYSIS AND OPTIMIZATION OF ELASTIC-PLASTIC STRUCTURES (1987) (23)
- A Displacement-Based Topology Design Method with Self-Adaptive Layered Materials (1993) (23)
- Bounds on the Effect of Progressive Structural Degradation (1998) (22)
- Problem Formulation, Solution Procedures and Geometric Modeling: Key issues in Variable-Topology Optimization (1998) (20)
- Topology optimization -- from airplanes to nanooptics (2004) (19)
- Optimal topology design of discrete structures resisting degradation effects (1999) (18)
- Scale effects in the optimal design of a microstructured medium against buckling (1990) (18)
- Optimization of friction stir welding using space mapping and manifold mapping—an initial study of thermal aspects (2009) (18)
- Estimation of the Welding Speed and Heat Input in Friction Stir Welding using Thermal Models and Optimization (2007) (17)
- Generalized Plate Models and Optimal Design (1986) (17)
- Optimization of material properties for improved frequency response (1994) (15)
- IUTAM Symposium on Synthesis in Bio Solid Mechanics : proceedings of the IUTAM Symposium held in Copenhagen, Denmark, 24-27 May 1998 (1999) (14)
- Structural sensitivity analysis and optimization, volumes 1 and 2 by K.K. Choi and Nam-Ho Kim (2006) (12)
- Design of multi-phase structures with optimized vibrational and wave-transmitting properties (2002) (12)
- Topology design of truss structures (1995) (12)
- Layout optimization of structures with finite-sized features using multiresolution analysis (2004) (11)
- Sensitivity analysis and optimal design of elastic plates with unilateral point supports (1987) (11)
- Truss Topology Optimization by a Displacements Based Optimality Criterion Approach (1993) (10)
- Topology optimization using the finite volume method (2005) (9)
- On two formulations of an optimal insulation problem (2007) (9)
- Topology and Boundary Shape Optimization as an Integrated Tool for Computer Aided Design (1991) (9)
- A Unified Approach to the Analysis and Design of Elasto-Plastic Structures with Mechanical Contact (1993) (9)
- Topology Optimization of Continuum Structures with Stress Constraints (1997) (9)
- An Optimization Problem for Predicting the Maximal Effect of Degradation of Mechanical Structures (1999) (8)
- Some Recent Results on Topology Optimization of Periodic Composites (2000) (8)
- Topology and layout optimization of discrete and continuum structures (1993) (8)
- Topology Design of Structures, Materials and Mechanisms - Status and Perspectives (1999) (7)
- Recent developments in topology design of materials and mechanisms (2002) (7)
- The homogenization approach to topology design (1995) (6)
- On the Existence of Observable Single-Output Systems of a Simple Type (1981) (5)
- On the prediction of extremal material properties and optimal material distribution for multiple loading conditions (1994) (5)
- Topology Optimization of Periodic Microstructures with Buckling Criteria (2002) (5)
- Computational Challenges for Multi-Physics Topology Optimization (2006) (4)
- Existence proofs for a class of plate optimization problems (1984) (4)
- Shape Sensitivity Analysis of Optimal Compliance Functionals (1995) (4)
- A non-linear branch and cut method for solving discrete minimum compliance problems to global optimality (2007) (3)
- Addendum: “Layout Optimization of Structures” [Applied Mechanics Reviews, 1995, 48(2), pp. 41–119] (1996) (3)
- Design with anisotropic materials (2004) (3)
- Multidisciplinary Topology Optimization (2006) (2)
- A shape optimization study for tool design in resistance welding (2009) (2)
- Proceedings of 2nd Max Planck Workshop on Engineering Design Optimization, October 12-14, 2001, Nyborg, Denmark (2002) (2)
- “Shape Optimization by the Homogenization Method” by G. Allaire (2002) (2)
- Extremal overall elastic response of polycrystalline materials (1997) (2)
- On optimization, damage, and design (1998) (1)
- Joakim Petersson 1968–2002 (2003) (1)
- A formulation for optimal continuum structures with a decomposition of material properties into specified and designable parts (1998) (1)
- PLATO-N: Developing Specialized Methods for Aeronautics Structural Design Applications (2008) (1)
- On the Computational Approximation of Energy Bounds for Multiload Cases With One Level of Microstructure (2001) (1)
- Shape Optimization as a Discrete Optimization Problem — Solution Procedures Using Continuous Approximations (1989) (1)
- Robust Optimization of Thermal Aspects of Friction Stir Welding Using Manifold Mapping Techniques (2008) (1)
- Topology Optimization of Discrete Structures: An Introductory Course Using Convex and Nonsmooth Analysis (1996) (1)
- A variational formulation formulticriteria structural optimization (1983) (0)
- Advanced Topics in Structural Optimization (1998) (0)
- Prediction of extremal material properties for the optimal design of topology, shape, and material (1994) (0)
- Optimal Structural Design With Composites: Free Material and Laminate Design (2006) (0)
- Decomposition Techniques for Global Optimization of Discrete Topology Design Problems (2008) (0)
- Material models in topology optimization (2002) (0)
- Optimal Design of Discrete Engineering Structures Resisting Effects of Material Degradation (2000) (0)
- Opgaver i Matematisk Analyse 3 (Excercises in Advanced Calculus 3), 2nd edition (1996) (0)
- From relaxation to airplanes (2005) (0)
- A geometry projection method for shape optimization with design-dependent loads (2003) (0)
- Design Optimization: Challenges in Analysis and Computations (1999) (0)
- G-Closure and Homogenization Problems Arising in Plate Optimization (1982) (0)
- Optimization with Multiple Scales Using Wavelet Based Reduced Order Models (2003) (0)
- A Geometry Projection and Optimality Criterion Method for Topology Optimization using the Topological Derivative (2005) (0)
- Design of optimal material properties for structures composed of nonlinear material (1994) (0)
- Extremal energy functionals for a free parametrization of material, shape and topology (1995) (0)
- Articulated Mechanism Design – Introduction of DOF Constraints (2003) (0)
- Laminate interpretation of results from Free Material Optimization (2009) (0)
- Design of the Resistance Welding Tool using Optimization Techniques (2008) (0)
- On optimal design of activity controlled distributed parameter structures (1988) (0)
- Topology Optimization of Periodic Materials with Buckling Constraint (2001) (0)
- Proceedings of the 2nd Max Planck Workshop on Structural Optimization, October 12-13, 2001 (2001) (0)
- Composite Materials as a Basis for Generating Optimal Topologies in Shape Design (1988) (0)
- Mesh-Independent Geometry Models in Topology Optimization (2001) (0)
- Editorial: Structural optimization (2008) (0)
- Topology optimization of structures or periodic solids with linearized elastic buckling criterion (2003) (0)
- In memoriam: John E. Taylor 1931–2005 (2007) (0)
- Benders decomposition for discrete material optimization in laminate design with local failure criteria (2009) (0)
- Topology and boundary shape optimization as an integrated design tool (1990) (0)
- Shape Sensitivity Analysis of Nonsmooth Shape Functionals (1995) (0)
- Design of structure and controllers for optimal performance (1987) (0)
- Optimal Topology Design of Microstructures with a Constraint on Local Buckling Behaviour (2001) (0)
- Optimization of Thermal Aspects of Friction Stir Welding – Initial Studies Using a Space Mapping Technique (2007) (0)
- Extensions of topology design methodologies (1995) (0)
- Implementing topology optimization using the finite volume method (2005) (0)
- Topology optimization applied to room acoustic problems and surface acoustic wave devices (2006) (0)
- Optimized energy functionals for the design of topology and shape (1995) (0)
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