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Classically, the mechanical response of materials is described through constitutive models, often in the form of constrained ordinary differential equations. These models have a very limited number of parameters, yet, they are extremely…

Machine Learning · Computer Science 2022-09-27 Ehsan Haghighat , Sahar Abouali , Reza Vaziri

Network models are used as efficient representation of materials with complex, interconnected locally one-dimensional structures. They typically accurately capture the mechanical properties of a material, while substantially reducing…

Numerical Analysis · Mathematics 2025-12-16 Morgan Görtz , Moritz Hauck , Axel Målqvist , Andreas Rupp , Lucia Swoboda

Elasticity images map biomechanical properties of soft tissues to aid in the detection and diagnosis of pathological states. In particular, quasi-static ultrasonic (US) elastography techniques use force-displacement measurements acquired…

Machine Learning · Computer Science 2018-09-13 Cameron Hoerig , Jamshid Ghaboussi , Michael F. Insana

We develop a new neural network architecture that strictly enforces constitutive constraints such as polyconvexity, frame-indifference, and the symmetry of the stress and material stiffness. Additionally, we show that the accuracy of the…

Biological Physics · Physics 2024-12-05 Nishan Parvez , Jacob S. Merson

DeepWarp is an efficient and highly re-usable deep neural network (DNN) based nonlinear deformable simulation framework. Unlike other deep learning applications such as image recognition, where different inputs have a uniform and consistent…

Graphics · Computer Science 2021-02-18 Ran Luo , Tianjia Shao , Huamin Wang , Weiwei Xu , Kun Zhou , Yin Yang

Representation learning is the foundation for the recent success of neural network models. However, the distributed representations generated by neural networks are far from ideal. Due to their highly entangled nature, they are di cult to…

Machine Learning · Computer Science 2016-02-09 William Whitney

Machine learning models often require large datasets and struggle to generalize beyond their training distribution. These limitations pose significant challenges in scientific and engineering contexts, where generating exhaustive datasets…

Chemical Physics · Physics 2025-06-12 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Emulator embedded neural networks, which are a type of physics informed neural network, leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. Multiple realizations of the neural network…

Machine Learning · Computer Science 2023-09-14 Atticus Beachy , Harok Bae , Jose Camberos , Ramana Grandhi

The mathematical formulation of constitutive models to describe the path-dependent, i.e., inelastic, behavior of materials is a challenging task and has been a focus in mechanics research for several decades. There have been increased…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Max Rosenkranz , Karl A. Kalina , Jörg Brummund , Markus Kästner

Human-robot co-manipulation of soft materials, such as fabrics, composites, and sheets of paper/cardboard, is a challenging operation that presents several relevant industrial applications. Estimating the deformation state of the…

Robotics · Computer Science 2023-08-09 Giorgio Nicola , Enrico Villagrossi , Nicola Pedrocchi

Grasping deformable objects is not well researched due to the complexity in modelling and simulating the dynamic behavior of such objects. However, with the rapid development of physics-based simulators that support soft bodies, the…

Robotics · Computer Science 2021-07-20 Tran Nguyen Le , Jens Lundell , Fares J. Abu-Dakka , Ville Kyrki

In the present work, the applicability of physics-augmented neural network (PANN) constitutive models for complex electro-elastic finite element analysis is demonstrated. For the investigations, PANN models for electro-elastic material…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

We present an elastic simulator for domains defined as evolving implicit functions, which is efficient, robust, and differentiable with respect to both shape and material. This simulator is motivated by applications in 3D reconstruction: it…

Graphics · Computer Science 2025-04-09 Gilles Daviet , Tianchang Shen , Nicholas Sharp , David I. W. Levin

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

Soft Condensed Matter · Physics 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

Learning 3D shape representation with dense correspondence for deformable objects is a fundamental problem in computer vision. Existing approaches often need additional annotations of specific semantic domain, e.g., skeleton poses for human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Baowen Zhang , Jiahe Li , Xiaoming Deng , Yinda Zhang , Cuixia Ma , Hongan Wang

Consider an unknown nonlinear dynamical system that is known to be dissipative. The objective of this paper is to learn a neural dynamical model that approximates this system, while preserving the dissipativity property in the model. In…

Machine Learning · Computer Science 2024-04-09 Yuezhu Xu , S. Sivaranjani

We present a comparison between two approaches to modelling hyperelastic material behaviour using data. The first approach is a novel approach based on Data-driven Computational Mechanics (DDCM) that completely bypasses the definition of a…

Computational Engineering, Finance, and Science · Computer Science 2024-09-23 Martin Zlatić , Felipe Rocha , Laurent Stainier , Marko Čanađija

The elastic properties of materials derive from their electronic and atomic nature. However, simulating bulk materials fully at these scales is not feasible, so that typically homogenized continuum descriptions are used instead. A seamless…

Materials Science · Physics 2021-08-09 Jaber Rezaei Mianroodi , Shahed Rezaei , Nima H. Siboni , Bai-Xiang Xu , Dierk Raabe

We study the problem of learning physical object representations for robot manipulation. Understanding object physics is critical for successful object manipulation, but also challenging because physical object properties can rarely be…

Robotics · Computer Science 2019-06-13 Zhenjia Xu , Jiajun Wu , Andy Zeng , Joshua B. Tenenbaum , Shuran Song

Perceiving the shape and material of an object from a single image is inherently ambiguous, especially when lighting is unknown and unconstrained. Despite this, humans can often disentangle shape and material, and when they are uncertain,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Xinran Nicole Han , Ko Nishino , Todd Zickler