## 1. Abaqus Explicit or Implicit?

Have you ever wondered, “**Abaqus Explicit or Standard?**” It’s a common question when you’re gearing up for your analysis. Aside from the specialized CFD solver (**Abaqus/CFD**) designed for fluid problems, Abaqus revolves around its two core analysis modules: Implicit and Explicit. In this post, we’re about to unveil the key differences between these two solvers and help you pick the one that’s just right for your analysis needs. Stick around with **CAE Assistant**!

## 2. Abaqus implicit and Explicit Solvers | Abaqus standard vs implicit!

First, I have to say that there are no differences between Standard and Implicit. In fact, these are two names for one solver. The main discussion is about Abaqus Implicit and Explicit solvers.

These solvers are based on two approaches in FEM analysis, namely **implicit** (for Abaqus/Standard) and **explicit**. The distinction between the two different numerical approaches makes it possible to understand which solver to use.

Read More: **Debugging of ABAQUS errors**

In the case of the implicit method, equilibrium is enforced between externally applied load and internally generated reaction forces at every solution step (**Newton Raphson** method).

In the case of the explicit method, there is no enforcement of equilibrium. But this does not mean that explicit is not accurate. You can minimize its deviation from equilibrium to almost zero by increasing the number of solution steps, i.e. reducing the time step size.

We can list the main differences below:

Implicit is unconditionally stable.

**Implicit** schema is *incremental* as well as *iterative*. However, **explicit** schema is only *incremental*.

In terms of cost per Increment, it is costly for implicit and cheaper for explicit. Disk space and memory usage are typically much smaller than that for implicit. The explicit method shows great cost savings over the implicit method as the model size increases:

Therefore, **Abaqus/Standard**(or implicit) must iterate to determine the solution to a nonlinear problem but **Abaqus/Explicit** determines the solution without iterating by *explicitly* advancing the kinematic state from the previous increment. Read More: Abaqus Quasi Static Analysis

## 3. Explicit or Standard, Which one should I use?

For many analyses, it is clear whether Abaqus Explicit or Standard should be used. For example, Abaqus/Standard is more efficient for solving smooth nonlinear problems; on the other hand, Abaqus/Explicit is the clear choice for high-speed dynamic analyses such as crash analysis or drop test. There are, however, certain problems that can be simulated well with either program.

Typically, these are problems that usually Standard can solve but may have difficulty converging because of contact or material complexities, resulting in a large number of iterations. For example, in problems where very complex contact conditions or very large deformations are present. Such analyses are expensive in Standard because each iteration requires solving a large set of linear equations.

## 4. The Maximum Increment Size in Abaqus: Implicit vs Explicit Solvers

Have you ever explored the concept of the maximum increment size in Abaqus for Implicit vs Explicit solvers? Are you aware that there are separate criteria for controlling the increment size in Standard and Abaqus Explicit? These are fundamental concepts that Abaqus users must understand, and we have explored them here.

### 4.1. The Maximum Increment Size in Explicit

Abaqus Explicit does not check the convergence of the solution. Therefore, using large time increments in the Explicit can lead to unreal oscillations or sudden material failure. The below figure shows how a large time increment modifies the results in the Explicit simulations. So, we must ensure that the stability condition is checked during the solution process. To do so, we need to calculate the stable increment size. Two options are available for defining the stable increment size in Abaqus Explicit: Automatic and Fixed. We will discuss them in detail in the following.

Figure – The effect of increment size on the results for Explicit solvers [1].

#### 4.1.1 Automatic Time Incrementation

Abaqus Explicit uses an approximated method to ensure that the solution remains stable. This is achieved by setting the maximum increment size to be less than the stable time increment. There are two options for automatically calculating the stable time increment in the Explicit: “global” estimation and “element-by-element” estimation.

The element-by-element method limits the maximum increment size to the constant value in Equation (1).

(1) |

Where **ω**max is the largest frequency in the model. The Explicit calculates the frequency for each element based on the material properties and the element size. The below figure provides instructions on how to select the “Element-by-element method” in the “Edit Step” window in Abaqus.

Figure – Choosing the Element-by-element method in the Abaqus “Edit Step” window.

The element-by-element method does not consider the effects of boundary conditions and contacts, during the solution, on the maximum increment size. This may lead to unnecessarily large increment sizes and inefficient analysis.

To overcome the limitation of the element-by-element method in updating the model’s frequency, Abaqus Explicit offers the global estimation option. Global estimation updates the maximum increment size based on the real-time state of the model. This allows for larger time increments compared to the element-by-element method, making it more computationally efficient. The Explicit employs the global estimation method by default.

#### 4.1.2 Fixed Time Incrementation

In some scenarios, the analysis requires an accurate representation of higher-mode responses. For such cases, the user must specify a smaller increment size relative to the element-by-element or global methods. This is where the fixed method becomes valuable. The below figure shows how to define a fixed increment size in an Explicit step.

Figure – Choosing the Fixed method in the Abaqus “Edit step” window.

It is important to note that when using a fixed increment size, Abaqus does not check the stability condition. So, it is crucial to carefully select a fixed increment size that guarantees stable results.

### 4.2 The Maximum Increment Size in Abaqus Standard

In the Standard solver, unlike the Explicit solver, convergence must be checked at each increment. Therefore, we are less likely to experience instability issues related to the increment size. You can employ significantly larger increment sizes, without limitations, in Implicit vs Explicit solvers. Moreover, the Standard solver can automatically reduce the defined increment size to prevent converge issues. However, you must be careful not to choose an increment size that is too large. In this situation, Abaqus breaks the increments repeatedly due to convergence issues. This negatively affects the computational cost.

According to the below figure, the Abaqus Standard’s increment size has no significant impact on the analysis results. So, the Standard solver is a more reliable choice compared to the Explicit solver. However, achieving convergence within an increment may require numerous iterations or may not always occur. This highlights a significant limitation of Implicit vs Explicit solvers.

Figure – The effect of increment size on the results for Abaqus Standard solver [1].

### 4.3 Implicit vs Explicit Solvers: Which One to Choose

You are now familiar with the concept of maximum increment size in Abaqus implicit vs Explicit solvers. In the Explicit solver, we typically use a greater number of steps compared to the Standard solver. However, the computational effort required to solve each increment is generally high in the Standard solver. You may wonder how to decide between the Abaqus solvers for a specific problem. There is no absolute instruction. Choosing the right solver requires experience and depends on the specific characteristics of your problem.

In the video below, prepared by our team, see the complete comparison between the Standard solver and the Explicit solver:

Until now, we have tried to explain ‘Abaqus Standard and Explicit’ thoroughly so that you can choose the right solver for your needs.

additionally, It would be useful to see **Abaqus Documentation** to understand how it would be hard to start an **Abaqus **simulation without any** **tutorial. Also, please share your views with the **CAE Assistant** experts in the comment section. We really appreciate your feedback, as it helps us improve our tutorials and fulfill all your CAE needs without requiring additional tutorials.

Abaqus CAE is a powerful software tool used for both pre-processing and post-processing in finite element analysis, essential for modeling, analyzing, and visualizing complex mechanical systems. For those looking to master Abaqus CAE and leverage its full potential, our website offers comprehensive tutorial packages tailored to both beginners and advanced users.

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You can have the PDF of this post by clicking on CAE Assistant- Abaqus implicit or Abaqus explicit

#### Which of the Explicit or Standard solvers is more suitable for my problem?

Abaqus/Standard is a good choice to solve static, low-speed dynamic, steady-state transport, or smooth nonlinear analyses. On the other hand, Abaqus/Explicit is the clear choice for quasi-static events such as the rolling of hot metal, severely nonlinear behavior such as contact, transient response, or high-speed dynamic analyses such as crash analysis or drop test. There are, however, certain problems that can be simulated well with either program.

#### What are the main differences between Explicit and Implicit Solvers in Abaqus?

- Implicit is unconditionally stable.
- Implicit schema is incremental as well as iterative. However, the explicit schema is only incremental.
- In terms of cost per increment, it is costly for implicit and cheaper for explicit.
- Disk space and memory usage are typically much smaller than that implicit: look at this diagram.

#### What is the difference between the solving strategy of Abaqus/Standard and Abaqus/Explicit?

These solvers are based on two approaches in FEM analysis, namely implicit (for Abaqus/Standard) and explicit. The distinction between the two different numerical approaches makes it possible to understand which solver to use. Abaqus/Standard must iterate to determine the solution to a nonlinear problem, but Abaqus/Explicit determines the solution without iterating by explicitly advancing the kinematic state from the previous increment.

#### What methods are used to analyze problems in Implicit and Explicit Solver?

In the case of the implicit method, equilibrium is enforced between externally applied load and internally generated reaction forces at every solution step (Newton Raphson method).

In the case of the explicit method, there is no enforcement of equilibrium. But this does not mean that explicit is not accurate. You can minimize its deviation from equilibrium to almost zero by increasing the number of solution steps, i.e. reducing the time step size.

#### How can we solve problems that involve several analysis stages?

Abaqus provides a useful capability for simulations involving several analysis stages. In this ability, the user can start a simulation in Abaqus/Explicit. Then the results at any point within the solver run can be transferred as the starting point for continuation in Abaqus/Standard. The user will define new model information during the import analysis.

**Thank you for being with us in this article. In order to always provide you with up-to-date and engaging content, we need to be familiar with your educational and professional experiences so that we can offer articles and lessons that are most useful to you.**

Good write-up. I definitely appreciate this site. Keep it up! Elle Tanny Kirtley

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Hello, thank you for this article. I needed to choose one of these two solver to solve my problem. This article helped me choose the most suitable solver. thank you